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Finding the Third Proportional to 50.41 and 114.12

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Solution

The third proportional to 50.41 and 114.12 is: 258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.41 : 114.12 = 114.12 : x
  2. Step 2: Convert to fraction form
    50.41/114.12 = 114.12/x
  3. Step 3: Cross multiply
    50.41x = 114.12 × 114.12
  4. Step 4: Simplify right side
    50.41x = 13,022.73
  5. Step 5: Solve for x
    x = 13,022.73/50.41
  6. Step 6: Final answer
    x = 258.32

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.