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Finding the Third Proportional to 381,548 and 753,493

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Solution

The third proportional to 381,548 and 753,493 is: 1,488,021.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,548 : 753,493 = 753,493 : x
  2. Step 2: Convert to fraction form
    381,548/753,493 = 753,493/x
  3. Step 3: Cross multiply
    381,548x = 753,493 × 753,493
  4. Step 4: Simplify right side
    381,548x = 567,751,701,049
  5. Step 5: Solve for x
    x = 567,751,701,049/381,548
  6. Step 6: Final answer
    x = 1,488,021.69

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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.