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Finding the Third Proportional to 403.31 and 748.41

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Solution

The third proportional to 403.31 and 748.41 is: 1,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.31 : 748.41 = 748.41 : x
  2. Step 2: Convert to fraction form
    403.31/748.41 = 748.41/x
  3. Step 3: Cross multiply
    403.31x = 748.41 × 748.41
  4. Step 4: Simplify right side
    403.31x = 560,111.92
  5. Step 5: Solve for x
    x = 560,111.92/403.31
  6. Step 6: Final answer
    x = 1,388.78

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.