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Finding the Third Proportional to 129.73 and 196.80

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Solution

The third proportional to 129.73 and 196.80 is: 298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.73 : 196.80 = 196.80 : x
  2. Step 2: Convert to fraction form
    129.73/196.80 = 196.80/x
  3. Step 3: Cross multiply
    129.73x = 196.80 × 196.80
  4. Step 4: Simplify right side
    129.73x = 38,732.09
  5. Step 5: Solve for x
    x = 38,732.09/129.73
  6. Step 6: Final answer
    x = 298.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.