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Finding the Third Proportional to 87,538 and 127,478

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Solution

The third proportional to 87,538 and 127,478 is: 185,640.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,538 : 127,478 = 127,478 : x
  2. Step 2: Convert to fraction form
    87,538/127,478 = 127,478/x
  3. Step 3: Cross multiply
    87,538x = 127,478 × 127,478
  4. Step 4: Simplify right side
    87,538x = 16,250,640,484
  5. Step 5: Solve for x
    x = 16,250,640,484/87,538
  6. Step 6: Final answer
    x = 185,640.98

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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.