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Finding the Third Proportional to 378,069 and 825,474

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Solution

The third proportional to 378,069 and 825,474 is: 1,802,335.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,069 : 825,474 = 825,474 : x
  2. Step 2: Convert to fraction form
    378,069/825,474 = 825,474/x
  3. Step 3: Cross multiply
    378,069x = 825,474 × 825,474
  4. Step 4: Simplify right side
    378,069x = 681,407,324,676
  5. Step 5: Solve for x
    x = 681,407,324,676/378,069
  6. Step 6: Final answer
    x = 1,802,335.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.