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Finding the Third Proportional to 136.27 and 198.05

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Solution

The third proportional to 136.27 and 198.05 is: 287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.27 : 198.05 = 198.05 : x
  2. Step 2: Convert to fraction form
    136.27/198.05 = 198.05/x
  3. Step 3: Cross multiply
    136.27x = 198.05 × 198.05
  4. Step 4: Simplify right side
    136.27x = 39,222.56
  5. Step 5: Solve for x
    x = 39,222.56/136.27
  6. Step 6: Final answer
    x = 287.84

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.