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Finding the Third Proportional to 27.75 and 50.81

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Solution

The third proportional to 27.75 and 50.81 is: 93.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.75 : 50.81 = 50.81 : x
  2. Step 2: Convert to fraction form
    27.75/50.81 = 50.81/x
  3. Step 3: Cross multiply
    27.75x = 50.81 × 50.81
  4. Step 4: Simplify right side
    27.75x = 2,581.91
  5. Step 5: Solve for x
    x = 2,581.91/27.75
  6. Step 6: Final answer
    x = 93.04

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.