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Finding the Third Proportional to 112.75 and 166.28

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Solution

The third proportional to 112.75 and 166.28 is: 245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.75 : 166.28 = 166.28 : x
  2. Step 2: Convert to fraction form
    112.75/166.28 = 166.28/x
  3. Step 3: Cross multiply
    112.75x = 166.28 × 166.28
  4. Step 4: Simplify right side
    112.75x = 27,649.45
  5. Step 5: Solve for x
    x = 27,649.45/112.75
  6. Step 6: Final answer
    x = 245.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.