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Finding the Third Proportional to 396,438 and 844,104

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Solution

The third proportional to 396,438 and 844,104 is: 1,797,283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,438 : 844,104 = 844,104 : x
  2. Step 2: Convert to fraction form
    396,438/844,104 = 844,104/x
  3. Step 3: Cross multiply
    396,438x = 844,104 × 844,104
  4. Step 4: Simplify right side
    396,438x = 712,511,562,816
  5. Step 5: Solve for x
    x = 712,511,562,816/396,438
  6. Step 6: Final answer
    x = 1,797,283.72

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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.