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Finding the Third Proportional to 126.38 and 329.88

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Solution

The third proportional to 126.38 and 329.88 is: 861.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.38 : 329.88 = 329.88 : x
  2. Step 2: Convert to fraction form
    126.38/329.88 = 329.88/x
  3. Step 3: Cross multiply
    126.38x = 329.88 × 329.88
  4. Step 4: Simplify right side
    126.38x = 108,817.52
  5. Step 5: Solve for x
    x = 108,817.52/126.38
  6. Step 6: Final answer
    x = 861.07

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.