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Finding the Third Proportional to 111.44 and 276.22

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Solution

The third proportional to 111.44 and 276.22 is: 684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.44 : 276.22 = 276.22 : x
  2. Step 2: Convert to fraction form
    111.44/276.22 = 276.22/x
  3. Step 3: Cross multiply
    111.44x = 276.22 × 276.22
  4. Step 4: Simplify right side
    111.44x = 76,296.80
  5. Step 5: Solve for x
    x = 76,296.80/111.44
  6. Step 6: Final answer
    x = 684.66

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.