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Finding the Third Proportional to 396,648 and 872,028

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Solution

The third proportional to 396,648 and 872,028 is: 1,917,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,648 : 872,028 = 872,028 : x
  2. Step 2: Convert to fraction form
    396,648/872,028 = 872,028/x
  3. Step 3: Cross multiply
    396,648x = 872,028 × 872,028
  4. Step 4: Simplify right side
    396,648x = 760,432,832,784
  5. Step 5: Solve for x
    x = 760,432,832,784/396,648
  6. Step 6: Final answer
    x = 1,917,147.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.