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Finding the Third Proportional to 136.27 and 301.64

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Solution

The third proportional to 136.27 and 301.64 is: 667.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.27 : 301.64 = 301.64 : x
  2. Step 2: Convert to fraction form
    136.27/301.64 = 301.64/x
  3. Step 3: Cross multiply
    136.27x = 301.64 × 301.64
  4. Step 4: Simplify right side
    136.27x = 90,987.07
  5. Step 5: Solve for x
    x = 90,987.07/136.27
  6. Step 6: Final answer
    x = 667.72

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.