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Finding the Third Proportional to 394.75 and 814.75

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Solution

The third proportional to 394.75 and 814.75 is: 1,681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.75 : 814.75 = 814.75 : x
  2. Step 2: Convert to fraction form
    394.75/814.75 = 814.75/x
  3. Step 3: Cross multiply
    394.75x = 814.75 × 814.75
  4. Step 4: Simplify right side
    394.75x = 663,817.56
  5. Step 5: Solve for x
    x = 663,817.56/394.75
  6. Step 6: Final answer
    x = 1,681.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.