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Finding the Third Proportional to 77.81 and 125.25

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Solution

The third proportional to 77.81 and 125.25 is: 201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.81 : 125.25 = 125.25 : x
  2. Step 2: Convert to fraction form
    77.81/125.25 = 125.25/x
  3. Step 3: Cross multiply
    77.81x = 125.25 × 125.25
  4. Step 4: Simplify right side
    77.81x = 15,687.56
  5. Step 5: Solve for x
    x = 15,687.56/77.81
  6. Step 6: Final answer
    x = 201.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.