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Finding the Third Proportional to 396,956 and 856,120

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Solution

The third proportional to 396,956 and 856,120 is: 1,846,404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,956 : 856,120 = 856,120 : x
  2. Step 2: Convert to fraction form
    396,956/856,120 = 856,120/x
  3. Step 3: Cross multiply
    396,956x = 856,120 × 856,120
  4. Step 4: Simplify right side
    396,956x = 732,941,454,400
  5. Step 5: Solve for x
    x = 732,941,454,400/396,956
  6. Step 6: Final answer
    x = 1,846,404.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.