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Finding the Third Proportional to 54.75 and 110.44

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Solution

The third proportional to 54.75 and 110.44 is: 222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.75 : 110.44 = 110.44 : x
  2. Step 2: Convert to fraction form
    54.75/110.44 = 110.44/x
  3. Step 3: Cross multiply
    54.75x = 110.44 × 110.44
  4. Step 4: Simplify right side
    54.75x = 12,196.44
  5. Step 5: Solve for x
    x = 12,196.44/54.75
  6. Step 6: Final answer
    x = 222.77

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.