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Finding the Third Proportional to 381,860 and 754,060

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Solution

The third proportional to 381,860 and 754,060 is: 1,489,044.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,860 : 754,060 = 754,060 : x
  2. Step 2: Convert to fraction form
    381,860/754,060 = 754,060/x
  3. Step 3: Cross multiply
    381,860x = 754,060 × 754,060
  4. Step 4: Simplify right side
    381,860x = 568,606,483,600
  5. Step 5: Solve for x
    x = 568,606,483,600/381,860
  6. Step 6: Final answer
    x = 1,489,044.37

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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.