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Finding the Third Proportional to 87,581 and 138,864

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Solution

The third proportional to 87,581 and 138,864 is: 220,175.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,581 : 138,864 = 138,864 : x
  2. Step 2: Convert to fraction form
    87,581/138,864 = 138,864/x
  3. Step 3: Cross multiply
    87,581x = 138,864 × 138,864
  4. Step 4: Simplify right side
    87,581x = 19,283,210,496
  5. Step 5: Solve for x
    x = 19,283,210,496/87,581
  6. Step 6: Final answer
    x = 220,175.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.