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Finding the Third Proportional to 101.75 and 112.44

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Solution

The third proportional to 101.75 and 112.44 is: 124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.75 : 112.44 = 112.44 : x
  2. Step 2: Convert to fraction form
    101.75/112.44 = 112.44/x
  3. Step 3: Cross multiply
    101.75x = 112.44 × 112.44
  4. Step 4: Simplify right side
    101.75x = 12,642.19
  5. Step 5: Solve for x
    x = 12,642.19/101.75
  6. Step 6: Final answer
    x = 124.25

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.