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 Aid in finding the final answer
 Tool in investigation and in finding
patterns
 Allows students in focusing on the
“whole picture” rather than on the
nuances of computation
Proportion
An equation that equates two ratios
is called a proportion. Thus, if b = 0
and d = 0 then a / b = c / d is a
proportion
 Solve the proportion:
x + 2 2x – 3
8 7
Equate the cross products of the proportion x + 2 2x – 3 ,
8 7
we obtain the equation 7(x +2) = 8(2x – 3).
 Solve the proportion:
x - 3 2 .
4x x + 7
For a quadratic equation, we first
determine the cross products and solve
for the resulting quadratic equation.
2
We obtain (x – 3)(x + 7) = 2 (4x) or x - 4x – 21 = 0
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  • 1.
  • 2.  Aid in finding the final answer  Tool in investigation and in finding patterns  Allows students in focusing on the “whole picture” rather than on the nuances of computation
  • 3. Proportion An equation that equates two ratios is called a proportion. Thus, if b = 0 and d = 0 then a / b = c / d is a proportion
  • 4.  Solve the proportion: x + 2 2x – 3 8 7
  • 5.
  • 6. Equate the cross products of the proportion x + 2 2x – 3 , 8 7 we obtain the equation 7(x +2) = 8(2x – 3).
  • 7.  Solve the proportion: x - 3 2 . 4x x + 7 For a quadratic equation, we first determine the cross products and solve for the resulting quadratic equation. 2 We obtain (x – 3)(x + 7) = 2 (4x) or x - 4x – 21 = 0