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Finding the Third Proportional to 87,652 and 142,407

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Solution

The third proportional to 87,652 and 142,407 is: 231,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,652 : 142,407 = 142,407 : x
  2. Step 2: Convert to fraction form
    87,652/142,407 = 142,407/x
  3. Step 3: Cross multiply
    87,652x = 142,407 × 142,407
  4. Step 4: Simplify right side
    87,652x = 20,279,753,649
  5. Step 5: Solve for x
    x = 20,279,753,649/87,652
  6. Step 6: Final answer
    x = 231,366.70

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.