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Finding the Third Proportional to 42.75 and 110.95

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Solution

The third proportional to 42.75 and 110.95 is: 287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.75 : 110.95 = 110.95 : x
  2. Step 2: Convert to fraction form
    42.75/110.95 = 110.95/x
  3. Step 3: Cross multiply
    42.75x = 110.95 × 110.95
  4. Step 4: Simplify right side
    42.75x = 12,310.60
  5. Step 5: Solve for x
    x = 12,310.60/42.75
  6. Step 6: Final answer
    x = 287.97

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.