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Finding the Third Proportional to 87,894 and 207,385

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Solution

The third proportional to 87,894 and 207,385 is: 489,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,894 : 207,385 = 207,385 : x
  2. Step 2: Convert to fraction form
    87,894/207,385 = 207,385/x
  3. Step 3: Cross multiply
    87,894x = 207,385 × 207,385
  4. Step 4: Simplify right side
    87,894x = 43,008,538,225
  5. Step 5: Solve for x
    x = 43,008,538,225/87,894
  6. Step 6: Final answer
    x = 489,322.80

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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.