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Finding the Third Proportional to 136.27 and 197.02

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Solution

The third proportional to 136.27 and 197.02 is: 284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.27 : 197.02 = 197.02 : x
  2. Step 2: Convert to fraction form
    136.27/197.02 = 197.02/x
  3. Step 3: Cross multiply
    136.27x = 197.02 × 197.02
  4. Step 4: Simplify right side
    136.27x = 38,815.16
  5. Step 5: Solve for x
    x = 38,815.16/136.27
  6. Step 6: Final answer
    x = 284.85

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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.