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Finding the Third Proportional to 381,754 and 862,489

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Solution

The third proportional to 381,754 and 862,489 is: 1,948,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,754 : 862,489 = 862,489 : x
  2. Step 2: Convert to fraction form
    381,754/862,489 = 862,489/x
  3. Step 3: Cross multiply
    381,754x = 862,489 × 862,489
  4. Step 4: Simplify right side
    381,754x = 743,887,275,121
  5. Step 5: Solve for x
    x = 743,887,275,121/381,754
  6. Step 6: Final answer
    x = 1,948,603.75

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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.