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Finding the Third Proportional to 87,870 and 207,328

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Solution

The third proportional to 87,870 and 207,328 is: 489,187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,870 : 207,328 = 207,328 : x
  2. Step 2: Convert to fraction form
    87,870/207,328 = 207,328/x
  3. Step 3: Cross multiply
    87,870x = 207,328 × 207,328
  4. Step 4: Simplify right side
    87,870x = 42,984,899,584
  5. Step 5: Solve for x
    x = 42,984,899,584/87,870
  6. Step 6: Final answer
    x = 489,187.43

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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.