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Finding the Third Proportional to 205.45 and 266.84

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Solution

The third proportional to 205.45 and 266.84 is: 346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.45 : 266.84 = 266.84 : x
  2. Step 2: Convert to fraction form
    205.45/266.84 = 266.84/x
  3. Step 3: Cross multiply
    205.45x = 266.84 × 266.84
  4. Step 4: Simplify right side
    205.45x = 71,201.42
  5. Step 5: Solve for x
    x = 71,201.42/205.45
  6. Step 6: Final answer
    x = 346.56

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.