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Finding the Third Proportional to 396,381 and 699,666

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Solution

The third proportional to 396,381 and 699,666 is: 1,235,004.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,381 : 699,666 = 699,666 : x
  2. Step 2: Convert to fraction form
    396,381/699,666 = 699,666/x
  3. Step 3: Cross multiply
    396,381x = 699,666 × 699,666
  4. Step 4: Simplify right side
    396,381x = 489,532,511,556
  5. Step 5: Solve for x
    x = 489,532,511,556/396,381
  6. Step 6: Final answer
    x = 1,235,004.99

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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.