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Finding the Third Proportional to 87,951 and 207,414

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Solution

The third proportional to 87,951 and 207,414 is: 489,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,951 : 207,414 = 207,414 : x
  2. Step 2: Convert to fraction form
    87,951/207,414 = 207,414/x
  3. Step 3: Cross multiply
    87,951x = 207,414 × 207,414
  4. Step 4: Simplify right side
    87,951x = 43,020,567,396
  5. Step 5: Solve for x
    x = 43,020,567,396/87,951
  6. Step 6: Final answer
    x = 489,142.45

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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.