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Finding the Third Proportional to 381,839 and 754,045

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Solution

The third proportional to 381,839 and 754,045 is: 1,489,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,839 : 754,045 = 754,045 : x
  2. Step 2: Convert to fraction form
    381,839/754,045 = 754,045/x
  3. Step 3: Cross multiply
    381,839x = 754,045 × 754,045
  4. Step 4: Simplify right side
    381,839x = 568,583,862,025
  5. Step 5: Solve for x
    x = 568,583,862,025/381,839
  6. Step 6: Final answer
    x = 1,489,067.02

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.