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Finding the Third Proportional to 396,384 and 699,672

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Solution

The third proportional to 396,384 and 699,672 is: 1,235,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,384 : 699,672 = 699,672 : x
  2. Step 2: Convert to fraction form
    396,384/699,672 = 699,672/x
  3. Step 3: Cross multiply
    396,384x = 699,672 × 699,672
  4. Step 4: Simplify right side
    396,384x = 489,540,907,584
  5. Step 5: Solve for x
    x = 489,540,907,584/396,384
  6. Step 6: Final answer
    x = 1,235,016.82

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.