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Finding the Third Proportional to 396,616 and 871,964

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Solution

The third proportional to 396,616 and 871,964 is: 1,917,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,616 : 871,964 = 871,964 : x
  2. Step 2: Convert to fraction form
    396,616/871,964 = 871,964/x
  3. Step 3: Cross multiply
    396,616x = 871,964 × 871,964
  4. Step 4: Simplify right side
    396,616x = 760,321,217,296
  5. Step 5: Solve for x
    x = 760,321,217,296/396,616
  6. Step 6: Final answer
    x = 1,917,021.04

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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.