Finding the Third Proportional to 82,609.50 and 127,647
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Solution
The third proportional to 82,609.50 and 127,647 is: 197,238.29
Step by Step Solution
- Step 1: Write the proportion equation
82,609.50 : 127,647 = 127,647 : x - Step 2: Convert to fraction form
82,609.50/127,647 = 127,647/x - Step 3: Cross multiply
82,609.50x = 127,647 × 127,647 - Step 4: Simplify right side
82,609.50x = 16,293,756,609 - Step 5: Solve for x
x = 16,293,756,609/82,609.50 - Step 6: Final answer
x = 197,238.29
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.