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Finding the Third Proportional to 381,980 and 809,493

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Solution

The third proportional to 381,980 and 809,493 is: 1,715,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,980 : 809,493 = 809,493 : x
  2. Step 2: Convert to fraction form
    381,980/809,493 = 809,493/x
  3. Step 3: Cross multiply
    381,980x = 809,493 × 809,493
  4. Step 4: Simplify right side
    381,980x = 655,278,917,049
  5. Step 5: Solve for x
    x = 655,278,917,049/381,980
  6. Step 6: Final answer
    x = 1,715,479.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.