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Finding the Third Proportional to 18.11 and 39.06

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Solution

The third proportional to 18.11 and 39.06 is: 84.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.11 : 39.06 = 39.06 : x
  2. Step 2: Convert to fraction form
    18.11/39.06 = 39.06/x
  3. Step 3: Cross multiply
    18.11x = 39.06 × 39.06
  4. Step 4: Simplify right side
    18.11x = 1,525.57
  5. Step 5: Solve for x
    x = 1,525.57/18.11
  6. Step 6: Final answer
    x = 84.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.