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Finding the Third Proportional to 396,612 and 871,956

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Solution

The third proportional to 396,612 and 871,956 is: 1,917,005.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,612 : 871,956 = 871,956 : x
  2. Step 2: Convert to fraction form
    396,612/871,956 = 871,956/x
  3. Step 3: Cross multiply
    396,612x = 871,956 × 871,956
  4. Step 4: Simplify right side
    396,612x = 760,307,265,936
  5. Step 5: Solve for x
    x = 760,307,265,936/396,612
  6. Step 6: Final answer
    x = 1,917,005.20

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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.