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Finding the Third Proportional to 136.75 and 209.38

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Solution

The third proportional to 136.75 and 209.38 is: 320.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.75 : 209.38 = 209.38 : x
  2. Step 2: Convert to fraction form
    136.75/209.38 = 209.38/x
  3. Step 3: Cross multiply
    136.75x = 209.38 × 209.38
  4. Step 4: Simplify right side
    136.75x = 43,837.89
  5. Step 5: Solve for x
    x = 43,837.89/136.75
  6. Step 6: Final answer
    x = 320.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.