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Finding the Third Proportional to 107.74 and 171.33

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Solution

The third proportional to 107.74 and 171.33 is: 272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.74 : 171.33 = 171.33 : x
  2. Step 2: Convert to fraction form
    107.74/171.33 = 171.33/x
  3. Step 3: Cross multiply
    107.74x = 171.33 × 171.33
  4. Step 4: Simplify right side
    107.74x = 29,355.33
  5. Step 5: Solve for x
    x = 29,355.33/107.74
  6. Step 6: Final answer
    x = 272.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.