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Finding the Third Proportional to 87,971 and 207,458

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Solution

The third proportional to 87,971 and 207,458 is: 489,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,971 : 207,458 = 207,458 : x
  2. Step 2: Convert to fraction form
    87,971/207,458 = 207,458/x
  3. Step 3: Cross multiply
    87,971x = 207,458 × 207,458
  4. Step 4: Simplify right side
    87,971x = 43,038,821,764
  5. Step 5: Solve for x
    x = 43,038,821,764/87,971
  6. Step 6: Final answer
    x = 489,238.75

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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.