6.1 Ratios, Proportions, and Geometric Mean

6.1 Ratios, Proportions, and Geometric Mean

Ratios

Fill in the Blanks

The ratio  $4:10$   can be reduced to  $2:5$ .

The ratio  $12:16$  would reduce to _?_ $:4$  .

Proportions

Multiple Choice

Solve the following proportion. $$\frac{2}{x+3}=\frac{5}{4x}$$  

• 1

• 2

• 3

• 5

Geometric Mean

Multiple Choice

See the example to the left. (Click on it to enlarge it.)

Then find the geometric mean of 3 and 12.

• 4

• 6

• 8

• 9

​Another way to think of the geometric mean is that it is the side length that makes a square with the same area as the rectangle made by the two given numbers.