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Finding the Third Proportional to 57.82 and 126.48

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Solution

The third proportional to 57.82 and 126.48 is: 276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.82 : 126.48 = 126.48 : x
  2. Step 2: Convert to fraction form
    57.82/126.48 = 126.48/x
  3. Step 3: Cross multiply
    57.82x = 126.48 × 126.48
  4. Step 4: Simplify right side
    57.82x = 15,998.05
  5. Step 5: Solve for x
    x = 15,998.05/57.82
  6. Step 6: Final answer
    x = 276.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.