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Finding the Third Proportional to 136.69 and 191.74

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Solution

The third proportional to 136.69 and 191.74 is: 268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.69 : 191.74 = 191.74 : x
  2. Step 2: Convert to fraction form
    136.69/191.74 = 191.74/x
  3. Step 3: Cross multiply
    136.69x = 191.74 × 191.74
  4. Step 4: Simplify right side
    136.69x = 36,765.07
  5. Step 5: Solve for x
    x = 36,765.07/136.69
  6. Step 6: Final answer
    x = 268.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.