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Finding the Third Proportional to 397,400 and 861,100

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Solution

The third proportional to 397,400 and 861,100 is: 1,865,861.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,400 : 861,100 = 861,100 : x
  2. Step 2: Convert to fraction form
    397,400/861,100 = 861,100/x
  3. Step 3: Cross multiply
    397,400x = 861,100 × 861,100
  4. Step 4: Simplify right side
    397,400x = 741,493,210,000
  5. Step 5: Solve for x
    x = 741,493,210,000/397,400
  6. Step 6: Final answer
    x = 1,865,861.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.