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Finding the Third Proportional to 378,458 and 567,743

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Solution

The third proportional to 378,458 and 567,743 is: 851,698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,458 : 567,743 = 567,743 : x
  2. Step 2: Convert to fraction form
    378,458/567,743 = 567,743/x
  3. Step 3: Cross multiply
    378,458x = 567,743 × 567,743
  4. Step 4: Simplify right side
    378,458x = 322,332,114,049
  5. Step 5: Solve for x
    x = 322,332,114,049/378,458
  6. Step 6: Final answer
    x = 851,698.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.