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Finding the Third Proportional to 396,622 and 871,976

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Solution

The third proportional to 396,622 and 871,976 is: 1,917,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,622 : 871,976 = 871,976 : x
  2. Step 2: Convert to fraction form
    396,622/871,976 = 871,976/x
  3. Step 3: Cross multiply
    396,622x = 871,976 × 871,976
  4. Step 4: Simplify right side
    396,622x = 760,342,144,576
  5. Step 5: Solve for x
    x = 760,342,144,576/396,622
  6. Step 6: Final answer
    x = 1,917,044.80

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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.