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Finding the Third Proportional to 77.75 and 110.88

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Solution

The third proportional to 77.75 and 110.88 is: 158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.75 : 110.88 = 110.88 : x
  2. Step 2: Convert to fraction form
    77.75/110.88 = 110.88/x
  3. Step 3: Cross multiply
    77.75x = 110.88 × 110.88
  4. Step 4: Simplify right side
    77.75x = 12,293.27
  5. Step 5: Solve for x
    x = 12,293.27/77.75
  6. Step 6: Final answer
    x = 158.11

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.