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Finding the Third Proportional to 87,954 and 207,412

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Solution

The third proportional to 87,954 and 207,412 is: 489,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,954 : 207,412 = 207,412 : x
  2. Step 2: Convert to fraction form
    87,954/207,412 = 207,412/x
  3. Step 3: Cross multiply
    87,954x = 207,412 × 207,412
  4. Step 4: Simplify right side
    87,954x = 43,019,737,744
  5. Step 5: Solve for x
    x = 43,019,737,744/87,954
  6. Step 6: Final answer
    x = 489,116.33

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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.