Finding the Third Proportional to 82,007.25 and 177,615.75
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Solution
The third proportional to 82,007.25 and 177,615.75 is: 384,689.82
Step by Step Solution
- Step 1: Write the proportion equation
82,007.25 : 177,615.75 = 177,615.75 : x - Step 2: Convert to fraction form
82,007.25/177,615.75 = 177,615.75/x - Step 3: Cross multiply
82,007.25x = 177,615.75 × 177,615.75 - Step 4: Simplify right side
82,007.25x = 31,547,354,648.06 - Step 5: Solve for x
x = 31,547,354,648.06/82,007.25 - Step 6: Final answer
x = 384,689.82
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.