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Finding the Third Proportional to 396,418 and 825,668

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Solution

The third proportional to 396,418 and 825,668 is: 1,719,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,418 : 825,668 = 825,668 : x
  2. Step 2: Convert to fraction form
    396,418/825,668 = 825,668/x
  3. Step 3: Cross multiply
    396,418x = 825,668 × 825,668
  4. Step 4: Simplify right side
    396,418x = 681,727,646,224
  5. Step 5: Solve for x
    x = 681,727,646,224/396,418
  6. Step 6: Final answer
    x = 1,719,719.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.