Finding the Third Proportional to 136,920 and 296,304
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Solution
The third proportional to 136,920 and 296,304 is: 641,221.59
Step by Step Solution
- Step 1: Write the proportion equation
136,920 : 296,304 = 296,304 : x - Step 2: Convert to fraction form
136,920/296,304 = 296,304/x - Step 3: Cross multiply
136,920x = 296,304 × 296,304 - Step 4: Simplify right side
136,920x = 87,796,060,416 - Step 5: Solve for x
x = 87,796,060,416/136,920 - Step 6: Final answer
x = 641,221.59
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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.