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Finding the Third Proportional to 36.09 and 81.19

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Solution

The third proportional to 36.09 and 81.19 is: 182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.09 : 81.19 = 81.19 : x
  2. Step 2: Convert to fraction form
    36.09/81.19 = 81.19/x
  3. Step 3: Cross multiply
    36.09x = 81.19 × 81.19
  4. Step 4: Simplify right side
    36.09x = 6,591.41
  5. Step 5: Solve for x
    x = 6,591.41/36.09
  6. Step 6: Final answer
    x = 182.62

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.