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Finding the Third Proportional to 33.12 and 68.77

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Solution

The third proportional to 33.12 and 68.77 is: 142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.12 : 68.77 = 68.77 : x
  2. Step 2: Convert to fraction form
    33.12/68.77 = 68.77/x
  3. Step 3: Cross multiply
    33.12x = 68.77 × 68.77
  4. Step 4: Simplify right side
    33.12x = 4,728.71
  5. Step 5: Solve for x
    x = 4,728.71/33.12
  6. Step 6: Final answer
    x = 142.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.