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Finding the Third Proportional to 87,292 and 133,478

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Solution

The third proportional to 87,292 and 133,478 is: 204,100.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,292 : 133,478 = 133,478 : x
  2. Step 2: Convert to fraction form
    87,292/133,478 = 133,478/x
  3. Step 3: Cross multiply
    87,292x = 133,478 × 133,478
  4. Step 4: Simplify right side
    87,292x = 17,816,376,484
  5. Step 5: Solve for x
    x = 17,816,376,484/87,292
  6. Step 6: Final answer
    x = 204,100.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.