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Finding the Third Proportional to 396,164 and 853,930

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Solution

The third proportional to 396,164 and 853,930 is: 1,840,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,164 : 853,930 = 853,930 : x
  2. Step 2: Convert to fraction form
    396,164/853,930 = 853,930/x
  3. Step 3: Cross multiply
    396,164x = 853,930 × 853,930
  4. Step 4: Simplify right side
    396,164x = 729,196,444,900
  5. Step 5: Solve for x
    x = 729,196,444,900/396,164
  6. Step 6: Final answer
    x = 1,840,642.88

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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.