Solving Proportions

Topic

Ratios, Proportions, and Percents

Definition

Solving proportions involves finding the value of a variable that makes two ratios equal.

Description

Solving proportions is a key skill in algebra and is used in various applications, such as scaling recipes, converting units, and solving real-world problems. For example, if you know that 

2/3 = x/6

you can solve for x by cross-multiplying to get 

2 * 6 = 3 * x

leading to 

x = 4

In math education, learning to solve proportions helps students understand the concept of equivalent ratios and develop algebraic skills. For instance, if a map scale indicates that 1 inch represents 5 miles, and the distance between two points on the map is 3 inches, students can set up the proportion 1/5 = 3/x to find the actual distance, x = 15 miles. This skill is essential for solving problems involving proportional relationships.

Teacher’s Script: "If you have the proportion 2/3 = x/6, solve for x to solve the proportion. This leads to 12 = 3x. Divide both sides by 3 to find x = 4."

For a complete collection of terms related to Ratios, Proportions, and Percents click on this link: Ratios, Proportions, and Percents Collection