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Finding the Third Proportional to 396,150 and 853,900

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Solution

The third proportional to 396,150 and 853,900 is: 1,840,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,150 : 853,900 = 853,900 : x
  2. Step 2: Convert to fraction form
    396,150/853,900 = 853,900/x
  3. Step 3: Cross multiply
    396,150x = 853,900 × 853,900
  4. Step 4: Simplify right side
    396,150x = 729,145,210,000
  5. Step 5: Solve for x
    x = 729,145,210,000/396,150
  6. Step 6: Final answer
    x = 1,840,578.59

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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.