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Finding the Third Proportional to 55.75 and 81.44

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Solution

The third proportional to 55.75 and 81.44 is: 118.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.75 : 81.44 = 81.44 : x
  2. Step 2: Convert to fraction form
    55.75/81.44 = 81.44/x
  3. Step 3: Cross multiply
    55.75x = 81.44 × 81.44
  4. Step 4: Simplify right side
    55.75x = 6,632.07
  5. Step 5: Solve for x
    x = 6,632.07/55.75
  6. Step 6: Final answer
    x = 118.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.