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Finding the Third Proportional to 39.66 and 84.66

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Solution

The third proportional to 39.66 and 84.66 is: 180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.66 : 84.66 = 84.66 : x
  2. Step 2: Convert to fraction form
    39.66/84.66 = 84.66/x
  3. Step 3: Cross multiply
    39.66x = 84.66 × 84.66
  4. Step 4: Simplify right side
    39.66x = 7,166.68
  5. Step 5: Solve for x
    x = 7,166.68/39.66
  6. Step 6: Final answer
    x = 180.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.