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Finding the Third Proportional to 396,675 and 872,081

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Solution

The third proportional to 396,675 and 872,081 is: 1,917,250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,675 : 872,081 = 872,081 : x
  2. Step 2: Convert to fraction form
    396,675/872,081 = 872,081/x
  3. Step 3: Cross multiply
    396,675x = 872,081 × 872,081
  4. Step 4: Simplify right side
    396,675x = 760,525,270,561
  5. Step 5: Solve for x
    x = 760,525,270,561/396,675
  6. Step 6: Final answer
    x = 1,917,250.32

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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.