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Finding the Third Proportional to 258,121 and 391,067

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Solution

The third proportional to 258,121 and 391,067 is: 592,487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,121 : 391,067 = 391,067 : x
  2. Step 2: Convert to fraction form
    258,121/391,067 = 391,067/x
  3. Step 3: Cross multiply
    258,121x = 391,067 × 391,067
  4. Step 4: Simplify right side
    258,121x = 152,933,398,489
  5. Step 5: Solve for x
    x = 152,933,398,489/258,121
  6. Step 6: Final answer
    x = 592,487.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.