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Finding the Third Proportional to 81.98 and 118.55

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Solution

The third proportional to 81.98 and 118.55 is: 171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.98 : 118.55 = 118.55 : x
  2. Step 2: Convert to fraction form
    81.98/118.55 = 118.55/x
  3. Step 3: Cross multiply
    81.98x = 118.55 × 118.55
  4. Step 4: Simplify right side
    81.98x = 14,053.36
  5. Step 5: Solve for x
    x = 14,053.36/81.98
  6. Step 6: Final answer
    x = 171.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.