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Finding the Third Proportional to 87,960 and 207,434

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Solution

The third proportional to 87,960 and 207,434 is: 489,186.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,960 : 207,434 = 207,434 : x
  2. Step 2: Convert to fraction form
    87,960/207,434 = 207,434/x
  3. Step 3: Cross multiply
    87,960x = 207,434 × 207,434
  4. Step 4: Simplify right side
    87,960x = 43,028,864,356
  5. Step 5: Solve for x
    x = 43,028,864,356/87,960
  6. Step 6: Final answer
    x = 489,186.73

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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.