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Finding the Third Proportional to 87,966 and 188,387

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Solution

The third proportional to 87,966 and 188,387 is: 403,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,966 : 188,387 = 188,387 : x
  2. Step 2: Convert to fraction form
    87,966/188,387 = 188,387/x
  3. Step 3: Cross multiply
    87,966x = 188,387 × 188,387
  4. Step 4: Simplify right side
    87,966x = 35,489,661,769
  5. Step 5: Solve for x
    x = 35,489,661,769/87,966
  6. Step 6: Final answer
    x = 403,447.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.