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Finding the Third Proportional to 87,364 and 138,552

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Solution

The third proportional to 87,364 and 138,552 is: 219,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,364 : 138,552 = 138,552 : x
  2. Step 2: Convert to fraction form
    87,364/138,552 = 138,552/x
  3. Step 3: Cross multiply
    87,364x = 138,552 × 138,552
  4. Step 4: Simplify right side
    87,364x = 19,196,656,704
  5. Step 5: Solve for x
    x = 19,196,656,704/87,364
  6. Step 6: Final answer
    x = 219,731.89

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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.