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Finding the Third Proportional to 112.75 and 223

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Solution

The third proportional to 112.75 and 223 is: 441.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.75 : 223 = 223 : x
  2. Step 2: Convert to fraction form
    112.75/223 = 223/x
  3. Step 3: Cross multiply
    112.75x = 223 × 223
  4. Step 4: Simplify right side
    112.75x = 49,729
  5. Step 5: Solve for x
    x = 49,729/112.75
  6. Step 6: Final answer
    x = 441.06

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.