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Finding the Third Proportional to 87,567 and 138,681

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Solution

The third proportional to 87,567 and 138,681 is: 219,630.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,567 : 138,681 = 138,681 : x
  2. Step 2: Convert to fraction form
    87,567/138,681 = 138,681/x
  3. Step 3: Cross multiply
    87,567x = 138,681 × 138,681
  4. Step 4: Simplify right side
    87,567x = 19,232,419,761
  5. Step 5: Solve for x
    x = 19,232,419,761/87,567
  6. Step 6: Final answer
    x = 219,630.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.