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Finding the Third Proportional to 205.20 and 439.20

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Solution

The third proportional to 205.20 and 439.20 is: 940.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.20 : 439.20 = 439.20 : x
  2. Step 2: Convert to fraction form
    205.20/439.20 = 439.20/x
  3. Step 3: Cross multiply
    205.20x = 439.20 × 439.20
  4. Step 4: Simplify right side
    205.20x = 192,899.39
  5. Step 5: Solve for x
    x = 192,899.39/205.20
  6. Step 6: Final answer
    x = 940.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.