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Finding the Third Proportional to 396,357 and 871,446

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Solution

The third proportional to 396,357 and 871,446 is: 1,915,995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,357 : 871,446 = 871,446 : x
  2. Step 2: Convert to fraction form
    396,357/871,446 = 871,446/x
  3. Step 3: Cross multiply
    396,357x = 871,446 × 871,446
  4. Step 4: Simplify right side
    396,357x = 759,418,130,916
  5. Step 5: Solve for x
    x = 759,418,130,916/396,357
  6. Step 6: Final answer
    x = 1,915,995.25

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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.