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Finding the Third Proportional to 87,567 and 138,843

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Solution

The third proportional to 87,567 and 138,843 is: 220,144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,567 : 138,843 = 138,843 : x
  2. Step 2: Convert to fraction form
    87,567/138,843 = 138,843/x
  3. Step 3: Cross multiply
    87,567x = 138,843 × 138,843
  4. Step 4: Simplify right side
    87,567x = 19,277,378,649
  5. Step 5: Solve for x
    x = 19,277,378,649/87,567
  6. Step 6: Final answer
    x = 220,144.33

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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.