Proportion Word Problems

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

To solve a proportion, you can use cross-multiplication or find a common factor.

Distance = Speed × Time.

Speed = Distance ÷ Time = 300 miles ÷ 5 hours = 60 miles per hour.

Identify the two ratios that are being compared and set them equal to each other.

The scale of a map shows the relationship between distance on the map and actual distance in real life.

3.5 inches × 10 miles/inch = 35 miles.

Aligning matching units ensures that the ratios being compared are consistent and valid.

1. Read the problem carefully. 2. Identify the known and unknown values. 3. Set up the proportion. 4. Solve for the unknown.

Distance = (360 miles ÷ 6 hours) × 10 hours = 600 miles.