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Finding the Third Proportional to 87,956 and 207,424

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Solution

The third proportional to 87,956 and 207,424 is: 489,161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,956 : 207,424 = 207,424 : x
  2. Step 2: Convert to fraction form
    87,956/207,424 = 207,424/x
  3. Step 3: Cross multiply
    87,956x = 207,424 × 207,424
  4. Step 4: Simplify right side
    87,956x = 43,024,715,776
  5. Step 5: Solve for x
    x = 43,024,715,776/87,956
  6. Step 6: Final answer
    x = 489,161.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.