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Finding the Third Proportional to 33.52 and 70.83

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Solution

The third proportional to 33.52 and 70.83 is: 149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.52 : 70.83 = 70.83 : x
  2. Step 2: Convert to fraction form
    33.52/70.83 = 70.83/x
  3. Step 3: Cross multiply
    33.52x = 70.83 × 70.83
  4. Step 4: Simplify right side
    33.52x = 5,016.62
  5. Step 5: Solve for x
    x = 5,016.62/33.52
  6. Step 6: Final answer
    x = 149.68

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.