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Finding the Third Proportional to 396,170 and 853,944

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Solution

The third proportional to 396,170 and 853,944 is: 1,840,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,170 : 853,944 = 853,944 : x
  2. Step 2: Convert to fraction form
    396,170/853,944 = 853,944/x
  3. Step 3: Cross multiply
    396,170x = 853,944 × 853,944
  4. Step 4: Simplify right side
    396,170x = 729,220,355,136
  5. Step 5: Solve for x
    x = 729,220,355,136/396,170
  6. Step 6: Final answer
    x = 1,840,675.35

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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.