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Finding the Third Proportional to 54 and 109.88

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Solution

The third proportional to 54 and 109.88 is: 223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54 : 109.88 = 109.88 : x
  2. Step 2: Convert to fraction form
    54/109.88 = 109.88/x
  3. Step 3: Cross multiply
    54x = 109.88 × 109.88
  4. Step 4: Simplify right side
    54x = 12,072.52
  5. Step 5: Solve for x
    x = 12,072.52/54
  6. Step 6: Final answer
    x = 223.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.