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Finding the Third Proportional to 378,578 and 807,691

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Solution

The third proportional to 378,578 and 807,691 is: 1,723,197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,578 : 807,691 = 807,691 : x
  2. Step 2: Convert to fraction form
    378,578/807,691 = 807,691/x
  3. Step 3: Cross multiply
    378,578x = 807,691 × 807,691
  4. Step 4: Simplify right side
    378,578x = 652,364,751,481
  5. Step 5: Solve for x
    x = 652,364,751,481/378,578
  6. Step 6: Final answer
    x = 1,723,197.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.