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Finding the Third Proportional to 204.75 and 327.28

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Solution

The third proportional to 204.75 and 327.28 is: 523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.75 : 327.28 = 327.28 : x
  2. Step 2: Convert to fraction form
    204.75/327.28 = 327.28/x
  3. Step 3: Cross multiply
    204.75x = 327.28 × 327.28
  4. Step 4: Simplify right side
    204.75x = 107,113.02
  5. Step 5: Solve for x
    x = 107,113.02/204.75
  6. Step 6: Final answer
    x = 523.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.