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Finding the Third Proportional to 120.54 and 169.39

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Solution

The third proportional to 120.54 and 169.39 is: 238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.54 : 169.39 = 169.39 : x
  2. Step 2: Convert to fraction form
    120.54/169.39 = 169.39/x
  3. Step 3: Cross multiply
    120.54x = 169.39 × 169.39
  4. Step 4: Simplify right side
    120.54x = 28,693.33
  5. Step 5: Solve for x
    x = 28,693.33/120.54
  6. Step 6: Final answer
    x = 238.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.