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Finding the Third Proportional to 205.59 and 440.34

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Solution

The third proportional to 205.59 and 440.34 is: 943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.59 : 440.34 = 440.34 : x
  2. Step 2: Convert to fraction form
    205.59/440.34 = 440.34/x
  3. Step 3: Cross multiply
    205.59x = 440.34 × 440.34
  4. Step 4: Simplify right side
    205.59x = 193,902.62
  5. Step 5: Solve for x
    x = 193,902.62/205.59
  6. Step 6: Final answer
    x = 943.13

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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.