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Finding the Third Proportional to 204 and 328.55

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Solution

The third proportional to 204 and 328.55 is: 529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204 : 328.55 = 328.55 : x
  2. Step 2: Convert to fraction form
    204/328.55 = 328.55/x
  3. Step 3: Cross multiply
    204x = 328.55 × 328.55
  4. Step 4: Simplify right side
    204x = 107,943.05
  5. Step 5: Solve for x
    x = 107,943.05/204
  6. Step 6: Final answer
    x = 529.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.