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Finding the Third Proportional to 381,744 and 862,464

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Solution

The third proportional to 381,744 and 862,464 is: 1,948,541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,744 : 862,464 = 862,464 : x
  2. Step 2: Convert to fraction form
    381,744/862,464 = 862,464/x
  3. Step 3: Cross multiply
    381,744x = 862,464 × 862,464
  4. Step 4: Simplify right side
    381,744x = 743,844,151,296
  5. Step 5: Solve for x
    x = 743,844,151,296/381,744
  6. Step 6: Final answer
    x = 1,948,541.83

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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.