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Finding the Third Proportional to 266.91 and 406.03

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Solution

The third proportional to 266.91 and 406.03 is: 617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.91 : 406.03 = 406.03 : x
  2. Step 2: Convert to fraction form
    266.91/406.03 = 406.03/x
  3. Step 3: Cross multiply
    266.91x = 406.03 × 406.03
  4. Step 4: Simplify right side
    266.91x = 164,861.38
  5. Step 5: Solve for x
    x = 164,861.38/266.91
  6. Step 6: Final answer
    x = 617.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.