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Finding the Third Proportional to 33.86 and 69.96

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Solution

The third proportional to 33.86 and 69.96 is: 144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.86 : 69.96 = 69.96 : x
  2. Step 2: Convert to fraction form
    33.86/69.96 = 69.96/x
  3. Step 3: Cross multiply
    33.86x = 69.96 × 69.96
  4. Step 4: Simplify right side
    33.86x = 4,894.53
  5. Step 5: Solve for x
    x = 4,894.53/33.86
  6. Step 6: Final answer
    x = 144.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.