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Finding the Third Proportional to 107.88 and 171.44

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Solution

The third proportional to 107.88 and 171.44 is: 272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.88 : 171.44 = 171.44 : x
  2. Step 2: Convert to fraction form
    107.88/171.44 = 171.44/x
  3. Step 3: Cross multiply
    107.88x = 171.44 × 171.44
  4. Step 4: Simplify right side
    107.88x = 29,390.82
  5. Step 5: Solve for x
    x = 29,390.82/107.88
  6. Step 6: Final answer
    x = 272.45

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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.