1. Section 5.3A Solving Proportions Section 5.3A Solving Proportions
Objectives:
Using proportions to solve equations

2. Concept: What is a Ratio?
Ratio: A comparison of two quantities using a
quotient (fraction).
The word “TO” separates the numerator and denominator quantities.
The ratio of 12 to 17 translates to
Numerator
Denominator
Unit ratio: A ratio with a denominator of 1.

3. A PROPORTION is an equation stating that two ratios are equal.
Concept: What is a Proportion
A PROPORTION is an equation stating that two ratios are equal.
means
extremes
In a proportion, the product of the means is equal to the product of the extremes.

4. Concept: Solving Proportions cont…
You Try!!! Solve for x: x =
x = 28

5. Concept: Solving Proportions cont…
You Try!!! Solve for x: x =
x = 10

6. Concept: Solving Proportions cont…
You Try!!! Solve for x:
3 = 12 y 28
x = 7

7. Concept: Solving More Complex Proportions
To solve more complex problems, you still begin by cross multiplying, and then solving following SADMEP
Cross multiply
2. Distribute
Subtract 4b from both sides
Subtract 15 from both sides

8. Your Turn: Solve for x Cross multiply 2. Distribute
3. Subtract 3x from
both sides
4. Add 10 to both sides
5. Divide both sides by 2

9. Homework: PM 5.3A
PM 5.3A

12. Homework: PM 5.3A