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Finding the Third Proportional to 149.48 and 329.41

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Solution

The third proportional to 149.48 and 329.41 is: 725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.48 : 329.41 = 329.41 : x
  2. Step 2: Convert to fraction form
    149.48/329.41 = 329.41/x
  3. Step 3: Cross multiply
    149.48x = 329.41 × 329.41
  4. Step 4: Simplify right side
    149.48x = 108,513.62
  5. Step 5: Solve for x
    x = 108,513.62/149.48
  6. Step 6: Final answer
    x = 725.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.