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Finding the Third Proportional to 613.25 and 796.75

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Solution

The third proportional to 613.25 and 796.75 is: 1,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.25 : 796.75 = 796.75 : x
  2. Step 2: Convert to fraction form
    613.25/796.75 = 796.75/x
  3. Step 3: Cross multiply
    613.25x = 796.75 × 796.75
  4. Step 4: Simplify right side
    613.25x = 634,810.56
  5. Step 5: Solve for x
    x = 634,810.56/613.25
  6. Step 6: Final answer
    x = 1,035.16

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.