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Finding the Third Proportional to 87,910 and 207,330

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Solution

The third proportional to 87,910 and 207,330 is: 488,974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,910 : 207,330 = 207,330 : x
  2. Step 2: Convert to fraction form
    87,910/207,330 = 207,330/x
  3. Step 3: Cross multiply
    87,910x = 207,330 × 207,330
  4. Step 4: Simplify right side
    87,910x = 42,985,728,900
  5. Step 5: Solve for x
    x = 42,985,728,900/87,910
  6. Step 6: Final answer
    x = 488,974.28

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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.