# Pre – Algebra Online Tutoring: Proportions

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## Learn about Proportions from Certified Online Pre-Algebra Tutor

A proportion is simply two ratios that are equivalent to each other. The missing element in a math problem is usually found by using Proportions.

#### It can be written in two ways:

Two equal fractions,

**a/b = c/d**

**OR**

**in colon notation, a: b = c: d**

In a proportion,

**Product of the means = Product of the extremes.**

#### Extremes

Means are the terms that are close together.

Extremes are the terms that are further apart.

Cross Product Property of Proportions:

When two ratios are equal, then the cross products of the ratios are equal.

That is, for the proportion,

**a: b = c: d,**

**a x d = b x c **

**Means = Extremes**

#### Let’s understand with an example:

**1.** **Fill in the missing number to complete the proportion.**

6/13= 42/x

Write an equivalent fraction with 42 as the numerator

**2.** **Harry read 30 medieval books over the course of 15 weeks .How many books would he have read in 20 weeks? Assume the relationship is directly proportional.**

Use cross products to solve the problem

**After 20 weeks, Harry would have read 40 medieval books.**

## Check Point

- Fill in the missing number to complete the proportion 3/5 = x/75
- Fill in the missing number to complete the proportion 8/9= 120/y
- The Yankee candle making company can make 1600 candles in 4 minutes. How many candles can they make in 15 minutes?
- A writer can type 250 words in 100 seconds. At that rate, how many seconds would it take him to type 500 words?
- At the school summer camp the ratio of number of boys and girls is 7: 3. If there are 27 girls in the summer camp, find the number of boys in the summer camp and the total number of students in the summer camp.

##### Answer Key

- x = 45
- y= 135
- 6000 candles
- 200 seconds
- 63 boys ,90 students

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