Proportions A proportion is an equation with a ratio on each side. It is a statement that two...

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SOLVING PROPORTIONS

Transcript of Proportions A proportion is an equation with a ratio on each side. It is a statement that two...

Page 1: Proportions A proportion is an equation with a ratio on each side. It is a statement that two ratios are equal. 3 = 6 is an example of a proportion.

SOLVING PROPORTIONS

Page 2: Proportions A proportion is an equation with a ratio on each side. It is a statement that two ratios are equal. 3 = 6 is an example of a proportion.

Proportions

A proportion is an equation with a ratio on each side. It is a statement that two ratios are equal.

3 = 6 is an example of a proportion. 4 8

(A ratio is a fraction.)

Page 3: Proportions A proportion is an equation with a ratio on each side. It is a statement that two ratios are equal. 3 = 6 is an example of a proportion.

How can you tell if ratios are in proportion?

Page 4: Proportions A proportion is an equation with a ratio on each side. It is a statement that two ratios are equal. 3 = 6 is an example of a proportion.

Tell whether the ratios are proportional.

410

615

Since the cross products are equal, the ratios are proportional.

60

=?

60 = 60

Find cross products.604

10615

Page 5: Proportions A proportion is an equation with a ratio on each side. It is a statement that two ratios are equal. 3 = 6 is an example of a proportion.

Tell whether the ratios are proportional.

Since the cross products are equal, the ratios are proportional.

20

20 = 20

Find cross products.2024

510

24

510

=?

Page 6: Proportions A proportion is an equation with a ratio on each side. It is a statement that two ratios are equal. 3 = 6 is an example of a proportion.

Solving Proportions

When you do not know one of the four numbers in a proportion, set the cross products equal to each other and solve.

Page 7: Proportions A proportion is an equation with a ratio on each side. It is a statement that two ratios are equal. 3 = 6 is an example of a proportion.

Solve the Proportion

6p = 12 • 5

p = 10

6p = 60

Find the cross products.

Solve.

56

p12

=

; the proportion checks.56

1012

=

Page 8: Proportions A proportion is an equation with a ratio on each side. It is a statement that two ratios are equal. 3 = 6 is an example of a proportion.

Solve the Proportion

14 • 3 = 2g

21 = g

42 = 2g

Find the cross products.

Solve.

23

14g

=

; the proportion checks.23

1421

=


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