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Finding the Third Proportional to 50.75 and 103.19

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Solution

The third proportional to 50.75 and 103.19 is: 209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.75 : 103.19 = 103.19 : x
  2. Step 2: Convert to fraction form
    50.75/103.19 = 103.19/x
  3. Step 3: Cross multiply
    50.75x = 103.19 × 103.19
  4. Step 4: Simplify right side
    50.75x = 10,647.66
  5. Step 5: Solve for x
    x = 10,647.66/50.75
  6. Step 6: Final answer
    x = 209.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.