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Finding the Third Proportional to 172,545.19 and 266,512.78

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Solution

The third proportional to 172,545.19 and 266,512.78 is: 411,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,545.19 : 266,512.78 = 266,512.78 : x
  2. Step 2: Convert to fraction form
    172,545.19/266,512.78 = 266,512.78/x
  3. Step 3: Cross multiply
    172,545.19x = 266,512.78 × 266,512.78
  4. Step 4: Simplify right side
    172,545.19x = 71,029,062,569.61
  5. Step 5: Solve for x
    x = 71,029,062,569.61/172,545.19
  6. Step 6: Final answer
    x = 411,654.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.