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Finding the Third Proportional to 87,500 and 135,750

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Solution

The third proportional to 87,500 and 135,750 is: 210,606.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,500 : 135,750 = 135,750 : x
  2. Step 2: Convert to fraction form
    87,500/135,750 = 135,750/x
  3. Step 3: Cross multiply
    87,500x = 135,750 × 135,750
  4. Step 4: Simplify right side
    87,500x = 18,428,062,500
  5. Step 5: Solve for x
    x = 18,428,062,500/87,500
  6. Step 6: Final answer
    x = 210,606.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.