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Finding the Third Proportional to 394.88 and 627.75

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Solution

The third proportional to 394.88 and 627.75 is: 997.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.88 : 627.75 = 627.75 : x
  2. Step 2: Convert to fraction form
    394.88/627.75 = 627.75/x
  3. Step 3: Cross multiply
    394.88x = 627.75 × 627.75
  4. Step 4: Simplify right side
    394.88x = 394,070.06
  5. Step 5: Solve for x
    x = 394,070.06/394.88
  6. Step 6: Final answer
    x = 997.96

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.