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Finding the Third Proportional to 98.38 and 108.09

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Solution

The third proportional to 98.38 and 108.09 is: 118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.38 : 108.09 = 108.09 : x
  2. Step 2: Convert to fraction form
    98.38/108.09 = 108.09/x
  3. Step 3: Cross multiply
    98.38x = 108.09 × 108.09
  4. Step 4: Simplify right side
    98.38x = 11,684.26
  5. Step 5: Solve for x
    x = 11,684.26/98.38
  6. Step 6: Final answer
    x = 118.77

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.