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Finding the Third Proportional to 266.94 and 408.88

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Solution

The third proportional to 266.94 and 408.88 is: 626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.94 : 408.88 = 408.88 : x
  2. Step 2: Convert to fraction form
    266.94/408.88 = 408.88/x
  3. Step 3: Cross multiply
    266.94x = 408.88 × 408.88
  4. Step 4: Simplify right side
    266.94x = 167,178.77
  5. Step 5: Solve for x
    x = 167,178.77/266.94
  6. Step 6: Final answer
    x = 626.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.