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Finding the Third Proportional to 117.12 and 171.88

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Solution

The third proportional to 117.12 and 171.88 is: 252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.12 : 171.88 = 171.88 : x
  2. Step 2: Convert to fraction form
    117.12/171.88 = 171.88/x
  3. Step 3: Cross multiply
    117.12x = 171.88 × 171.88
  4. Step 4: Simplify right side
    117.12x = 29,542.36
  5. Step 5: Solve for x
    x = 29,542.36/117.12
  6. Step 6: Final answer
    x = 252.25

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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.