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Finding the Third Proportional to 396,915 and 853,734

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Solution

The third proportional to 396,915 and 853,734 is: 1,836,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,915 : 853,734 = 853,734 : x
  2. Step 2: Convert to fraction form
    396,915/853,734 = 853,734/x
  3. Step 3: Cross multiply
    396,915x = 853,734 × 853,734
  4. Step 4: Simplify right side
    396,915x = 728,861,742,756
  5. Step 5: Solve for x
    x = 728,861,742,756/396,915
  6. Step 6: Final answer
    x = 1,836,316.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.