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Finding the Third Proportional to 18.06 and 28.09

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Solution

The third proportional to 18.06 and 28.09 is: 43.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.06 : 28.09 = 28.09 : x
  2. Step 2: Convert to fraction form
    18.06/28.09 = 28.09/x
  3. Step 3: Cross multiply
    18.06x = 28.09 × 28.09
  4. Step 4: Simplify right side
    18.06x = 789.26
  5. Step 5: Solve for x
    x = 789.26/18.06
  6. Step 6: Final answer
    x = 43.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.