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Finding the Third Proportional to 396,674 and 871,720

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Solution

The third proportional to 396,674 and 871,720 is: 1,915,668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,674 : 871,720 = 871,720 : x
  2. Step 2: Convert to fraction form
    396,674/871,720 = 871,720/x
  3. Step 3: Cross multiply
    396,674x = 871,720 × 871,720
  4. Step 4: Simplify right side
    396,674x = 759,895,758,400
  5. Step 5: Solve for x
    x = 759,895,758,400/396,674
  6. Step 6: Final answer
    x = 1,915,668.18

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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.