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Finding the Third Proportional to 87,957 and 207,420

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Solution

The third proportional to 87,957 and 207,420 is: 489,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,957 : 207,420 = 207,420 : x
  2. Step 2: Convert to fraction form
    87,957/207,420 = 207,420/x
  3. Step 3: Cross multiply
    87,957x = 207,420 × 207,420
  4. Step 4: Simplify right side
    87,957x = 43,023,056,400
  5. Step 5: Solve for x
    x = 43,023,056,400/87,957
  6. Step 6: Final answer
    x = 489,137.38

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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.