Find the Missing Value in a Proportion Worksheet

Find the Missing Value of Proportion

Name Grade School

Date Questions10 Score

Find the value of x in the proportion

x :6 = 42:12

Find the value of x in the proportion

16:23 = 128: x

Find the value of x in the proportion

5:6 = x:54

Find the value of x in the proportion

x :11 = 120:66

Find the value of x in the proportion

2:7 = x:35

Find the value of x in the proportion

25:13 = 225: x

Find the value of x in the proportion

3: x = 24:176

Find the value of x in the proportion

7:24 = x:48

Find the value of x in the proportion

x :5 = 48:15

Find the value of x in the proportion

2: x = 18:63

Answers Key

Show All Workout

Find the value of x in the proportion

21:6 = 42:12

step 1

Write the given ratios in fraction form

y:6 =

42:12 =

4212

step 2

Find the Means & Extremes

4212

x 12 = 42 x 6
Extremes = 12, y
Means = 42, 6

step 3

Rearrange the statement to find y

y =

42 x 612

y = 21

step 4

The missing term in the proportion is 21
Therefore the proportion is 21:6 = 42:12

Find the value of x in the proportion

16:23 = 128:184

step 1

Write the given ratios in fraction form

16:23 =

1623

128:y =

128y

step 2

Find the Means & Extremes

1623

128y

16 x y = 128 x 23
Extremes = 16, y
Means = 128, 23

step 3

Rearrange the statement to find y

y =

128 x 2316

y = 184

step 4

The missing term in the proportion is 184
Therefore the proportion is 16:23 = 128:184

Find the value of x in the proportion

5:6 = 45:54

step 1

Write the given ratios in fraction form

5:6 =

y:6 =

y54

step 2

Find the Means & Extremes

y54

5 x 54 = y x 6
Extremes = 5, 54
Means = 6, y

step 3

Rearrange the statement to find y

y =

5 x 546

y = 45

step 4

The missing term in the proportion is 45
Therefore the proportion is 5:6 = 45:54

Find the value of x in the proportion

20:11 = 120:66

step 1

Write the given ratios in fraction form

y:11 =

y11

120:66 =

12066

step 2

Find the Means & Extremes

y11

12066

x 66 = 120 x 11
Extremes = 66, y
Means = 120, 11

step 3

Rearrange the statement to find y

y =

120 x 1166

y = 20

step 4

The missing term in the proportion is 20
Therefore the proportion is 20:11 = 120:66

Find the value of x in the proportion

2:7 = 10:35

step 1

Write the given ratios in fraction form

2:7 =

y:7 =

y35

step 2

Find the Means & Extremes

y35

2 x 35 = y x 7
Extremes = 2, 35
Means = 7, y

step 3

Rearrange the statement to find y

y =

2 x 357

y = 10

step 4

The missing term in the proportion is 10
Therefore the proportion is 2:7 = 10:35

Find the value of x in the proportion

25:13 = 225:117

step 1

Write the given ratios in fraction form

25:13 =

2513

225:y =

225y

step 2

Find the Means & Extremes

2513

225y

25 x y = 225 x 13
Extremes = 25, y
Means = 225, 13

step 3

Rearrange the statement to find y

y =

225 x 1325

y = 117

step 4

The missing term in the proportion is 117
Therefore the proportion is 25:13 = 225:117

Find the value of x in the proportion

3: 22 = 24:176

step 1

Write the given ratios in fraction form

3:y =

24:176 =

24176

step 2

Find the Means & Extremes

24176

3 x 176 = 24 x y
Extremes = 3, 176
Means = 24, y

step 3

Rearrange the statement to find y

y =

3 x 17624

y = 22

step 4

The missing term in the proportion is 22
Therefore the proportion is 3: 22 = 24:176

Find the value of x in the proportion

7:24 = 14:48

step 1

Write the given ratios in fraction form

7:24 =

724

y:24 =

y48

step 2

Find the Means & Extremes

724

y48

7 x 48 = y x 24
Extremes = 7, 48
Means = 24, y

step 3

Rearrange the statement to find y

y =

7 x 4824

y = 14

step 4

The missing term in the proportion is 14
Therefore the proportion is 7:24 = 14:48

Find the value of x in the proportion

16:5 = 48:15

step 1

Write the given ratios in fraction form

y:5 =

48:15 =

4815

step 2

Find the Means & Extremes

4815

x 15 = 48 x 5
Extremes = 15, y
Means = 48, 5

step 3

Rearrange the statement to find y

y =

48 x 515

y = 16

step 4

The missing term in the proportion is 16
Therefore the proportion is 16:5 = 48:15

Find the value of x in the proportion

2: 7 = 18:63

step 1

Write the given ratios in fraction form

2:y =

18:63 =

1863

step 2

Find the Means & Extremes

1863

2 x 63 = 18 x y
Extremes = 2, 63
Means = 18, y

step 3

Rearrange the statement to find y

y =

2 x 6318

y = 7

step 4

The missing term in the proportion is 7
Therefore the proportion is 2: 7 = 18:63

How to Use this Worksheet

In this sixth grade ratio & proportion worksheet, students are required to find the missing value of two ratios in proportion. Apply the law of proportion to find the missing number. The law of proportion states that the product of means is always equal to the product of extremes if two ratios are in equivalent, direct variation or proportion. If the ratio A is to B and C is to D is proportional
A : B = C : D
A : B :: C : D
A/B = C/D
A x D = C x B
The product of MEANS = The product of EXTREMES

Find the Missing Term in the Proportion
To find A	To find B	To find C	To find D
A = C x B/D	B = A x D/C	C = A x D/B	D = C x B/A

Answers Key

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Find the Missing Value of Proportion

Find the Missing Number in the Proportion Worksheet

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