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

21: x = 42:12

Find the value of x in the proportion

16: x = 128:184

Find the value of x in the proportion

x :6 = 45:54

Find the value of x in the proportion

20: x = 120:66

Find the value of x in the proportion

2:7 = 10: x

Find the value of x in the proportion

25: x = 225:117

Find the value of x in the proportion

3:22 = 24: x

Find the value of x in the proportion

7:24 = 14: x

Find the value of x in the proportion

x :5 = 48:15

Find the value of x in the proportion

x :7 = 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

21:y =

21y

42:12 =

4212

step 2

Find the Means & Extremes

21y

4212

21 x 12 = 42 x y
Extremes = 21, 12
Means = 42, y

step 3

Rearrange the statement to find y

y =

21 x 1242

y = 6

step 4

The missing term in the proportion is 6
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:y =

16y

128:184 =

128184

step 2

Find the Means & Extremes

16y

128184

16 x 184 = 128 x y
Extremes = 16, 184
Means = 128, y

step 3

Rearrange the statement to find y

y =

16 x 184128

y = 23

step 4

The missing term in the proportion is 23
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

y:6 =

45:54 =

4554

step 2

Find the Means & Extremes

4554

x 54 = 45 x 6
Extremes = 54, y
Means = 45, 6

step 3

Rearrange the statement to find y

y =

45 x 654

y = 5

step 4

The missing term in the proportion is 5
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

20:y =

20y

120:66 =

12066

step 2

Find the Means & Extremes

20y

12066

20 x 66 = 120 x y
Extremes = 20, 66
Means = 120, y

step 3

Rearrange the statement to find y

y =

20 x 66120

y = 11

step 4

The missing term in the proportion is 11
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 =

10:y =

10y

step 2

Find the Means & Extremes

10y

2 x y = 10 x 7
Extremes = 2, y
Means = 10, 7

step 3

Rearrange the statement to find y

y =

10 x 72

y = 35

step 4

The missing term in the proportion is 35
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:y =

25y

225:117 =

225117

step 2

Find the Means & Extremes

25y

225117

25 x 117 = 225 x y
Extremes = 25, 117
Means = 225, y

step 3

Rearrange the statement to find y

y =

25 x 117225

y = 13

step 4

The missing term in the proportion is 13
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

3:22 =

322

24:y =

24y

step 2

Find the Means & Extremes

322

24y

3 x y = 24 x 22
Extremes = 3, y
Means = 24, 22

step 3

Rearrange the statement to find y

y =

24 x 223

y = 176

step 4

The missing term in the proportion is 176
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

14:y =

14y

step 2

Find the Means & Extremes

724

14y

7 x y = 14 x 24
Extremes = 7, y
Means = 14, 24

step 3

Rearrange the statement to find y

y =

14 x 247

y = 48

step 4

The missing term in the proportion is 48
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

y:7 =

18:63 =

1863

step 2

Find the Means & Extremes

1863

x 63 = 18 x 7
Extremes = 63, y
Means = 18, 7

step 3

Rearrange the statement to find y

y =

18 x 763

y = 2

step 4

The missing term in the proportion is 2
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

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