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Finding the Third Proportional to 39.44 and 84.81

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Solution

The third proportional to 39.44 and 84.81 is: 182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.44 : 84.81 = 84.81 : x
  2. Step 2: Convert to fraction form
    39.44/84.81 = 84.81/x
  3. Step 3: Cross multiply
    39.44x = 84.81 × 84.81
  4. Step 4: Simplify right side
    39.44x = 7,193.16
  5. Step 5: Solve for x
    x = 7,193.16/39.44
  6. Step 6: Final answer
    x = 182.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.