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Finding the Third Proportional to 112.31 and 165.75

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Solution

The third proportional to 112.31 and 165.75 is: 244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.31 : 165.75 = 165.75 : x
  2. Step 2: Convert to fraction form
    112.31/165.75 = 165.75/x
  3. Step 3: Cross multiply
    112.31x = 165.75 × 165.75
  4. Step 4: Simplify right side
    112.31x = 27,473.06
  5. Step 5: Solve for x
    x = 27,473.06/112.31
  6. Step 6: Final answer
    x = 244.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.