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Finding the Third Proportional to 391,132 and 839,448

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Solution

The third proportional to 391,132 and 839,448 is: 1,801,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,132 : 839,448 = 839,448 : x
  2. Step 2: Convert to fraction form
    391,132/839,448 = 839,448/x
  3. Step 3: Cross multiply
    391,132x = 839,448 × 839,448
  4. Step 4: Simplify right side
    391,132x = 704,672,944,704
  5. Step 5: Solve for x
    x = 704,672,944,704/391,132
  6. Step 6: Final answer
    x = 1,801,624.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.