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Finding the Third Proportional to 206.94 and 268.56

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Solution

The third proportional to 206.94 and 268.56 is: 348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.94 : 268.56 = 268.56 : x
  2. Step 2: Convert to fraction form
    206.94/268.56 = 268.56/x
  3. Step 3: Cross multiply
    206.94x = 268.56 × 268.56
  4. Step 4: Simplify right side
    206.94x = 72,125.82
  5. Step 5: Solve for x
    x = 72,125.82/206.94
  6. Step 6: Final answer
    x = 348.54

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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.