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Finding the Third Proportional to 327.80 and 514.27

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Solution

The third proportional to 327.80 and 514.27 is: 806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.80 : 514.27 = 514.27 : x
  2. Step 2: Convert to fraction form
    327.80/514.27 = 514.27/x
  3. Step 3: Cross multiply
    327.80x = 514.27 × 514.27
  4. Step 4: Simplify right side
    327.80x = 264,469.13
  5. Step 5: Solve for x
    x = 264,469.13/327.80
  6. Step 6: Final answer
    x = 806.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.