Finding the Third Proportional to 82,809.84 and 178,734.09
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Solution
The third proportional to 82,809.84 and 178,734.09 is: 385,773.90
Step by Step Solution
- Step 1: Write the proportion equation
82,809.84 : 178,734.09 = 178,734.09 : x - Step 2: Convert to fraction form
82,809.84/178,734.09 = 178,734.09/x - Step 3: Cross multiply
82,809.84x = 178,734.09 × 178,734.09 - Step 4: Simplify right side
82,809.84x = 31,945,876,268.63 - Step 5: Solve for x
x = 31,945,876,268.63/82,809.84 - Step 6: Final answer
x = 385,773.90
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.