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Finding the Third Proportional to 33,189.75 and 73,046.81

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Solution

The third proportional to 33,189.75 and 73,046.81 is: 160,767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,189.75 : 73,046.81 = 73,046.81 : x
  2. Step 2: Convert to fraction form
    33,189.75/73,046.81 = 73,046.81/x
  3. Step 3: Cross multiply
    33,189.75x = 73,046.81 × 73,046.81
  4. Step 4: Simplify right side
    33,189.75x = 5,335,836,816.41
  5. Step 5: Solve for x
    x = 5,335,836,816.41/33,189.75
  6. Step 6: Final answer
    x = 160,767.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.