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Finding the Third Proportional to 381,750 and 862,479

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Solution

The third proportional to 381,750 and 862,479 is: 1,948,578.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,750 : 862,479 = 862,479 : x
  2. Step 2: Convert to fraction form
    381,750/862,479 = 862,479/x
  3. Step 3: Cross multiply
    381,750x = 862,479 × 862,479
  4. Step 4: Simplify right side
    381,750x = 743,870,025,441
  5. Step 5: Solve for x
    x = 743,870,025,441/381,750
  6. Step 6: Final answer
    x = 1,948,578.98

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.