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Finding the Third Proportional to 105.75 and 251.38

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Solution

The third proportional to 105.75 and 251.38 is: 597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.75 : 251.38 = 251.38 : x
  2. Step 2: Convert to fraction form
    105.75/251.38 = 251.38/x
  3. Step 3: Cross multiply
    105.75x = 251.38 × 251.38
  4. Step 4: Simplify right side
    105.75x = 63,189.39
  5. Step 5: Solve for x
    x = 63,189.39/105.75
  6. Step 6: Final answer
    x = 597.54

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.