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Finding the Third Proportional to 394.75 and 650.75

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Solution

The third proportional to 394.75 and 650.75 is: 1,072.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.75 : 650.75 = 650.75 : x
  2. Step 2: Convert to fraction form
    394.75/650.75 = 650.75/x
  3. Step 3: Cross multiply
    394.75x = 650.75 × 650.75
  4. Step 4: Simplify right side
    394.75x = 423,475.56
  5. Step 5: Solve for x
    x = 423,475.56/394.75
  6. Step 6: Final answer
    x = 1,072.77

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.