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Finding the Third Proportional to 169.75 and 174.81

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Solution

The third proportional to 169.75 and 174.81 is: 180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.75 : 174.81 = 174.81 : x
  2. Step 2: Convert to fraction form
    169.75/174.81 = 174.81/x
  3. Step 3: Cross multiply
    169.75x = 174.81 × 174.81
  4. Step 4: Simplify right side
    169.75x = 30,560.09
  5. Step 5: Solve for x
    x = 30,560.09/169.75
  6. Step 6: Final answer
    x = 180.03

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.