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Finding the Third Proportional to 87,218 and 127,711

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Solution

The third proportional to 87,218 and 127,711 is: 187,003.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,218 : 127,711 = 127,711 : x
  2. Step 2: Convert to fraction form
    87,218/127,711 = 127,711/x
  3. Step 3: Cross multiply
    87,218x = 127,711 × 127,711
  4. Step 4: Simplify right side
    87,218x = 16,310,099,521
  5. Step 5: Solve for x
    x = 16,310,099,521/87,218
  6. Step 6: Final answer
    x = 187,003.82

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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.