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Finding the Third Proportional to 36.44 and 77.92

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Solution

The third proportional to 36.44 and 77.92 is: 166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.44 : 77.92 = 77.92 : x
  2. Step 2: Convert to fraction form
    36.44/77.92 = 77.92/x
  3. Step 3: Cross multiply
    36.44x = 77.92 × 77.92
  4. Step 4: Simplify right side
    36.44x = 6,072.12
  5. Step 5: Solve for x
    x = 6,072.12/36.44
  6. Step 6: Final answer
    x = 166.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.