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Finding the Third Proportional to 396,378 and 699,660

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Solution

The third proportional to 396,378 and 699,660 is: 1,234,993.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,378 : 699,660 = 699,660 : x
  2. Step 2: Convert to fraction form
    396,378/699,660 = 699,660/x
  3. Step 3: Cross multiply
    396,378x = 699,660 × 699,660
  4. Step 4: Simplify right side
    396,378x = 489,524,115,600
  5. Step 5: Solve for x
    x = 489,524,115,600/396,378
  6. Step 6: Final answer
    x = 1,234,993.15

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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.