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Finding the Third Proportional to 396,414 and 825,660

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Solution

The third proportional to 396,414 and 825,660 is: 1,719,703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,414 : 825,660 = 825,660 : x
  2. Step 2: Convert to fraction form
    396,414/825,660 = 825,660/x
  3. Step 3: Cross multiply
    396,414x = 825,660 × 825,660
  4. Step 4: Simplify right side
    396,414x = 681,714,435,600
  5. Step 5: Solve for x
    x = 681,714,435,600/396,414
  6. Step 6: Final answer
    x = 1,719,703.23

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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.