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Finding the Third Proportional to 334.97 and 748.41

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Solution

The third proportional to 334.97 and 748.41 is: 1,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.97 : 748.41 = 748.41 : x
  2. Step 2: Convert to fraction form
    334.97/748.41 = 748.41/x
  3. Step 3: Cross multiply
    334.97x = 748.41 × 748.41
  4. Step 4: Simplify right side
    334.97x = 560,111.92
  5. Step 5: Solve for x
    x = 560,111.92/334.97
  6. Step 6: Final answer
    x = 1,672.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.