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Finding the Third Proportional to 39.09 and 80.93

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Solution

The third proportional to 39.09 and 80.93 is: 167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.09 : 80.93 = 80.93 : x
  2. Step 2: Convert to fraction form
    39.09/80.93 = 80.93/x
  3. Step 3: Cross multiply
    39.09x = 80.93 × 80.93
  4. Step 4: Simplify right side
    39.09x = 6,549.61
  5. Step 5: Solve for x
    x = 6,549.61/39.09
  6. Step 6: Final answer
    x = 167.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.