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Finding the Third Proportional to 87,281 and 133,459

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Solution

The third proportional to 87,281 and 133,459 is: 204,068.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,281 : 133,459 = 133,459 : x
  2. Step 2: Convert to fraction form
    87,281/133,459 = 133,459/x
  3. Step 3: Cross multiply
    87,281x = 133,459 × 133,459
  4. Step 4: Simplify right side
    87,281x = 17,811,304,681
  5. Step 5: Solve for x
    x = 17,811,304,681/87,281
  6. Step 6: Final answer
    x = 204,068.52

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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.