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Finding the Third Proportional to 50.25 and 105.33

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Solution

The third proportional to 50.25 and 105.33 is: 220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.25 : 105.33 = 105.33 : x
  2. Step 2: Convert to fraction form
    50.25/105.33 = 105.33/x
  3. Step 3: Cross multiply
    50.25x = 105.33 × 105.33
  4. Step 4: Simplify right side
    50.25x = 11,094.01
  5. Step 5: Solve for x
    x = 11,094.01/50.25
  6. Step 6: Final answer
    x = 220.78

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.