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Finding the Third Proportional to 87,418 and 187,580

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Solution

The third proportional to 87,418 and 187,580 is: 402,505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,418 : 187,580 = 187,580 : x
  2. Step 2: Convert to fraction form
    87,418/187,580 = 187,580/x
  3. Step 3: Cross multiply
    87,418x = 187,580 × 187,580
  4. Step 4: Simplify right side
    87,418x = 35,186,256,400
  5. Step 5: Solve for x
    x = 35,186,256,400/87,418
  6. Step 6: Final answer
    x = 402,505.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.