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Finding the Third Proportional to 258,102 and 391,041

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Solution

The third proportional to 258,102 and 391,041 is: 592,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,102 : 391,041 = 391,041 : x
  2. Step 2: Convert to fraction form
    258,102/391,041 = 391,041/x
  3. Step 3: Cross multiply
    258,102x = 391,041 × 391,041
  4. Step 4: Simplify right side
    258,102x = 152,913,063,681
  5. Step 5: Solve for x
    x = 152,913,063,681/258,102
  6. Step 6: Final answer
    x = 592,452.07

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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.