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Finding the Third Proportional to 396,163 and 853,928

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Solution

The third proportional to 396,163 and 853,928 is: 1,840,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,163 : 853,928 = 853,928 : x
  2. Step 2: Convert to fraction form
    396,163/853,928 = 853,928/x
  3. Step 3: Cross multiply
    396,163x = 853,928 × 853,928
  4. Step 4: Simplify right side
    396,163x = 729,193,029,184
  5. Step 5: Solve for x
    x = 729,193,029,184/396,163
  6. Step 6: Final answer
    x = 1,840,638.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.