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Finding the Third Proportional to 396,916 and 853,736

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Solution

The third proportional to 396,916 and 853,736 is: 1,836,320.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,916 : 853,736 = 853,736 : x
  2. Step 2: Convert to fraction form
    396,916/853,736 = 853,736/x
  3. Step 3: Cross multiply
    396,916x = 853,736 × 853,736
  4. Step 4: Simplify right side
    396,916x = 728,865,157,696
  5. Step 5: Solve for x
    x = 728,865,157,696/396,916
  6. Step 6: Final answer
    x = 1,836,320.93

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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.