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Finding the Third Proportional to 396,168 and 853,940

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Solution

The third proportional to 396,168 and 853,940 is: 1,840,667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,168 : 853,940 = 853,940 : x
  2. Step 2: Convert to fraction form
    396,168/853,940 = 853,940/x
  3. Step 3: Cross multiply
    396,168x = 853,940 × 853,940
  4. Step 4: Simplify right side
    396,168x = 729,213,523,600
  5. Step 5: Solve for x
    x = 729,213,523,600/396,168
  6. Step 6: Final answer
    x = 1,840,667.40

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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.