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Finding the Third Proportional to 205.43 and 300.94

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Solution

The third proportional to 205.43 and 300.94 is: 440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.43 : 300.94 = 300.94 : x
  2. Step 2: Convert to fraction form
    205.43/300.94 = 300.94/x
  3. Step 3: Cross multiply
    205.43x = 300.94 × 300.94
  4. Step 4: Simplify right side
    205.43x = 90,564.54
  5. Step 5: Solve for x
    x = 90,564.54/205.43
  6. Step 6: Final answer
    x = 440.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.