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Finding the Third Proportional to 87,910 and 139,767

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Solution

The third proportional to 87,910 and 139,767 is: 222,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,910 : 139,767 = 139,767 : x
  2. Step 2: Convert to fraction form
    87,910/139,767 = 139,767/x
  3. Step 3: Cross multiply
    87,910x = 139,767 × 139,767
  4. Step 4: Simplify right side
    87,910x = 19,534,814,289
  5. Step 5: Solve for x
    x = 19,534,814,289/87,910
  6. Step 6: Final answer
    x = 222,213.79

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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.