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Finding the Third Proportional to 400.78 and 861.47

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Solution

The third proportional to 400.78 and 861.47 is: 1,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.78 : 861.47 = 861.47 : x
  2. Step 2: Convert to fraction form
    400.78/861.47 = 861.47/x
  3. Step 3: Cross multiply
    400.78x = 861.47 × 861.47
  4. Step 4: Simplify right side
    400.78x = 742,128.41
  5. Step 5: Solve for x
    x = 742,128.41/400.78
  6. Step 6: Final answer
    x = 1,851.70

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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.