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Finding the Third Proportional to 441.91 and 861.05

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Solution

The third proportional to 441.91 and 861.05 is: 1,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.91 : 861.05 = 861.05 : x
  2. Step 2: Convert to fraction form
    441.91/861.05 = 861.05/x
  3. Step 3: Cross multiply
    441.91x = 861.05 × 861.05
  4. Step 4: Simplify right side
    441.91x = 741,401.72
  5. Step 5: Solve for x
    x = 741,401.72/441.91
  6. Step 6: Final answer
    x = 1,677.71

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.