Writing and Solving Proportions

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Mathematics

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8th - 12th Grade

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Writing and Solving Proportions

Chapter 6 Lesson 6.3

Writing and Solving Proportions

A proportion is an equation that states that two ratios are equivalent.

Equivalent Ratios

If one of the numbers in a proportion is unknown, you can solve the proportion to find the unknown number. One way to solve a proportion is to use mental math to find an equivalent ratio.

Problem Solving

Each day, an elephant eats 5 pounds of food for every 100 pounds of its body weight. How much does a 9300 pound elephant eat per day?
In Example 3, you’ll see how to use a proportion to answer this question.

Example 1 Solving a Proportion Using Equivalent Ratios

Solve the proportion

\frac{5}{6}=\frac{x}{18}

1. Compare the denominator
2. Find the x
Answer Because

5\cdot3=15,\ x=15

Multiple Choice

Checkpoint 1:
Use equivalent ratios to solve the proportion.

\frac{2}{7}=\frac{x}{21}

x= 8

x= 4

x= 9

x= 13

Multiple Choice

Checkpoint 2:
Use algebra to solve the proportion.

\frac{5}{6}=\frac{x}{30}

x=25

x= 4.44

x= 6.55

Writing and Solving Proportions

Chapter 6 Lesson 6.3

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