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Finding the Third Proportional to 50.81 and 115.22

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Solution

The third proportional to 50.81 and 115.22 is: 261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.81 : 115.22 = 115.22 : x
  2. Step 2: Convert to fraction form
    50.81/115.22 = 115.22/x
  3. Step 3: Cross multiply
    50.81x = 115.22 × 115.22
  4. Step 4: Simplify right side
    50.81x = 13,275.36
  5. Step 5: Solve for x
    x = 13,275.36/50.81
  6. Step 6: Final answer
    x = 261.26

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.