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Finding the Third Proportional to 391,612,449.75 and 587,418,744.38

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Solution

The third proportional to 391,612,449.75 and 587,418,744.38 is: 881,128,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,612,449.75 : 587,418,744.38 = 587,418,744.38 : x
  2. Step 2: Convert to fraction form
    391,612,449.75/587,418,744.38 = 587,418,744.38/x
  3. Step 3: Cross multiply
    391,612,449.75x = 587,418,744.38 × 587,418,744.38
  4. Step 4: Simplify right side
    391,612,449.75x = 345,060,781,243,101,568
  5. Step 5: Solve for x
    x = 345,060,781,243,101,568/391,612,449.75
  6. Step 6: Final answer
    x = 881,128,221.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.