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Finding the Third Proportional to 87,545 and 127,489

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Solution

The third proportional to 87,545 and 127,489 is: 185,658.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,545 : 127,489 = 127,489 : x
  2. Step 2: Convert to fraction form
    87,545/127,489 = 127,489/x
  3. Step 3: Cross multiply
    87,545x = 127,489 × 127,489
  4. Step 4: Simplify right side
    87,545x = 16,253,445,121
  5. Step 5: Solve for x
    x = 16,253,445,121/87,545
  6. Step 6: Final answer
    x = 185,658.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.