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Finding the Third Proportional to 204.52 and 443.91

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Solution

The third proportional to 204.52 and 443.91 is: 963.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.52 : 443.91 = 443.91 : x
  2. Step 2: Convert to fraction form
    204.52/443.91 = 443.91/x
  3. Step 3: Cross multiply
    204.52x = 443.91 × 443.91
  4. Step 4: Simplify right side
    204.52x = 197,052.76
  5. Step 5: Solve for x
    x = 197,052.76/204.52
  6. Step 6: Final answer
    x = 963.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.