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Finding the Third Proportional to 68.25 and 82

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Solution

The third proportional to 68.25 and 82 is: 98.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.25 : 82 = 82 : x
  2. Step 2: Convert to fraction form
    68.25/82 = 82/x
  3. Step 3: Cross multiply
    68.25x = 82 × 82
  4. Step 4: Simplify right side
    68.25x = 6,724
  5. Step 5: Solve for x
    x = 6,724/68.25
  6. Step 6: Final answer
    x = 98.52

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.