Finding the Third Proportional to 81,702.42 and 176,971.92
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Solution
The third proportional to 81,702.42 and 176,971.92 is: 383,330.88
Step by Step Solution
- Step 1: Write the proportion equation
81,702.42 : 176,971.92 = 176,971.92 : x - Step 2: Convert to fraction form
81,702.42/176,971.92 = 176,971.92/x - Step 3: Cross multiply
81,702.42x = 176,971.92 × 176,971.92 - Step 4: Simplify right side
81,702.42x = 31,319,061,132.13 - Step 5: Solve for x
x = 31,319,061,132.13/81,702.42 - Step 6: Final answer
x = 383,330.88
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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.