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Finding the Third Proportional to 400.85 and 861.54

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Solution

The third proportional to 400.85 and 861.54 is: 1,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.85 : 861.54 = 861.54 : x
  2. Step 2: Convert to fraction form
    400.85/861.54 = 861.54/x
  3. Step 3: Cross multiply
    400.85x = 861.54 × 861.54
  4. Step 4: Simplify right side
    400.85x = 742,249.56
  5. Step 5: Solve for x
    x = 742,249.56/400.85
  6. Step 6: Final answer
    x = 1,851.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.