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Finding the Third Proportional to 18.22 and 27.09

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Solution

The third proportional to 18.22 and 27.09 is: 40.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.22 : 27.09 = 27.09 : x
  2. Step 2: Convert to fraction form
    18.22/27.09 = 27.09/x
  3. Step 3: Cross multiply
    18.22x = 27.09 × 27.09
  4. Step 4: Simplify right side
    18.22x = 734.07
  5. Step 5: Solve for x
    x = 734.07/18.22
  6. Step 6: Final answer
    x = 40.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.