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Finding the Third Proportional to 136.69 and 217.85

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Solution

The third proportional to 136.69 and 217.85 is: 347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.69 : 217.85 = 217.85 : x
  2. Step 2: Convert to fraction form
    136.69/217.85 = 217.85/x
  3. Step 3: Cross multiply
    136.69x = 217.85 × 217.85
  4. Step 4: Simplify right side
    136.69x = 47,456.75
  5. Step 5: Solve for x
    x = 47,456.75/136.69
  6. Step 6: Final answer
    x = 347.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.