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Finding the Third Proportional to 396,217 and 825,266

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Solution

The third proportional to 396,217 and 825,266 is: 1,718,916.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,217 : 825,266 = 825,266 : x
  2. Step 2: Convert to fraction form
    396,217/825,266 = 825,266/x
  3. Step 3: Cross multiply
    396,217x = 825,266 × 825,266
  4. Step 4: Simplify right side
    396,217x = 681,063,970,756
  5. Step 5: Solve for x
    x = 681,063,970,756/396,217
  6. Step 6: Final answer
    x = 1,718,916.58

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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.