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Finding the Third Proportional to 396,198 and 825,228

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Solution

The third proportional to 396,198 and 825,228 is: 1,718,840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,198 : 825,228 = 825,228 : x
  2. Step 2: Convert to fraction form
    396,198/825,228 = 825,228/x
  3. Step 3: Cross multiply
    396,198x = 825,228 × 825,228
  4. Step 4: Simplify right side
    396,198x = 681,001,251,984
  5. Step 5: Solve for x
    x = 681,001,251,984/396,198
  6. Step 6: Final answer
    x = 1,718,840.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.