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Finding the Third Proportional to 104.75 and 222.81

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Solution

The third proportional to 104.75 and 222.81 is: 473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.75 : 222.81 = 222.81 : x
  2. Step 2: Convert to fraction form
    104.75/222.81 = 222.81/x
  3. Step 3: Cross multiply
    104.75x = 222.81 × 222.81
  4. Step 4: Simplify right side
    104.75x = 49,645.41
  5. Step 5: Solve for x
    x = 49,645.41/104.75
  6. Step 6: Final answer
    x = 473.94

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.