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Finding the Third Proportional to 57,708 and 87,331

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Solution

The third proportional to 57,708 and 87,331 is: 132,160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,708 : 87,331 = 87,331 : x
  2. Step 2: Convert to fraction form
    57,708/87,331 = 87,331/x
  3. Step 3: Cross multiply
    57,708x = 87,331 × 87,331
  4. Step 4: Simplify right side
    57,708x = 7,626,703,561
  5. Step 5: Solve for x
    x = 7,626,703,561/57,708
  6. Step 6: Final answer
    x = 132,160.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.