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6A5 Solve Proportions Using Means & Extremes
Contributed by: Warren
In equivalent ratios, the product of the means
is equal to the product of the extremes.
*means are the middle numbers
*extremes are the outside numbers
Solve Proportions Using
Means & Extremes

3:5 = 6:10
5×6 = 3×10
In equivalent fractions, the cross products
are equal.
In equivalent ratios, the product of the means
is equal to the product of the extremes.
Ratios as fractions:
3:5 = 6:10
5×6 = 3×10
3
5
=
 6
10
***You may use a calculator for this quiz!
Step 2: Divide both sides by
the coefficient of the variable:
Step 1: Cross multiply
Finding a missing value using
means and extremes (cross products).
3×6 = 4×n
3
4
4.5 = n
18 = 4n
÷4
=
÷4
 n
 6
Write the cross products in an equation.
4
9
Solve the equation.
n =
n =
=
6
n
Write the cross products in an equation.
n
8
Solve the equation.
n =
n =
=
3
5
Write the cross products in an equation.
12
n
Solve the equation.
n =
n =
=
8
7
Write the cross products in an equation.
10
4
Solve the equation.
n =
n =
=
18
n
Write the cross products in an equation.
20
8
Solve the equation.
n =
n =
=
15
n
Write the cross products in an equation.
20
n
Solve the equation.
n =
n =
=
30
12
Write the cross products in an equation.
14
n
Solve the equation.
n =
n =
=
5
4
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