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Finding the Third Proportional to 120.38 and 174.94

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Solution

The third proportional to 120.38 and 174.94 is: 254.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.38 : 174.94 = 174.94 : x
  2. Step 2: Convert to fraction form
    120.38/174.94 = 174.94/x
  3. Step 3: Cross multiply
    120.38x = 174.94 × 174.94
  4. Step 4: Simplify right side
    120.38x = 30,603.13
  5. Step 5: Solve for x
    x = 30,603.13/120.38
  6. Step 6: Final answer
    x = 254.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.