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Finding the Third Proportional to 113.91 and 171.49

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Solution

The third proportional to 113.91 and 171.49 is: 258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.91 : 171.49 = 171.49 : x
  2. Step 2: Convert to fraction form
    113.91/171.49 = 171.49/x
  3. Step 3: Cross multiply
    113.91x = 171.49 × 171.49
  4. Step 4: Simplify right side
    113.91x = 29,409.57
  5. Step 5: Solve for x
    x = 29,409.57/113.91
  6. Step 6: Final answer
    x = 258.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.