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Finding the Third Proportional to 396,945 and 872,622

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Solution

The third proportional to 396,945 and 872,622 is: 1,918,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,945 : 872,622 = 872,622 : x
  2. Step 2: Convert to fraction form
    396,945/872,622 = 872,622/x
  3. Step 3: Cross multiply
    396,945x = 872,622 × 872,622
  4. Step 4: Simplify right side
    396,945x = 761,469,154,884
  5. Step 5: Solve for x
    x = 761,469,154,884/396,945
  6. Step 6: Final answer
    x = 1,918,324.09

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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.