1. PROPORTIONS

2. equation showing that two ratios are
WHAT IS A PROPORTION?
A proportion is an
equation showing that two ratios are
EQUAL
to each other.
EX:
𝑎 𝑏 = 𝑐 𝑑

3. PROPERTY OF PROPORTIONS
CROSS PRODUCTS PROPERTY
In a proportion, the product of the extremes equals the product of the means.
EX:
𝒂 𝒃 = 𝒄 𝒅

4. PROPERTY OF PROPORTIONS
CROSS PRODUCTS PROPERTY
EX:
𝟒 𝟐 = 𝒑 𝟑 →𝟐 ∗𝒑=𝟒 ∗𝟑
→ 𝟐𝒑=𝟏𝟐
Solve for p

5. EXAMPLES
5 10 = 𝑋 16

6. EXAMPLES
2 𝑋 = 5 8

7. EXAMPLES
1 𝑦+1 = 2 3𝑦

8. EXAMPLES
1 𝑥 −3 = 4 3𝑥

9. EXAMPLES
𝑦 −3 7 = 𝑦 14