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Finding the Third Proportional to 40,086 and 86,591

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Solution

The third proportional to 40,086 and 86,591 is: 187,047.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,086 : 86,591 = 86,591 : x
  2. Step 2: Convert to fraction form
    40,086/86,591 = 86,591/x
  3. Step 3: Cross multiply
    40,086x = 86,591 × 86,591
  4. Step 4: Simplify right side
    40,086x = 7,498,001,281
  5. Step 5: Solve for x
    x = 7,498,001,281/40,086
  6. Step 6: Final answer
    x = 187,047.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.