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Finding the Third Proportional to 18.22 and 38.96

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Solution

The third proportional to 18.22 and 38.96 is: 83.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.22 : 38.96 = 38.96 : x
  2. Step 2: Convert to fraction form
    18.22/38.96 = 38.96/x
  3. Step 3: Cross multiply
    18.22x = 38.96 × 38.96
  4. Step 4: Simplify right side
    18.22x = 1,518.03
  5. Step 5: Solve for x
    x = 1,518.03/18.22
  6. Step 6: Final answer
    x = 83.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.