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Finding the Third Proportional to 266.63 and 406.97

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Solution

The third proportional to 266.63 and 406.97 is: 621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.63 : 406.97 = 406.97 : x
  2. Step 2: Convert to fraction form
    266.63/406.97 = 406.97/x
  3. Step 3: Cross multiply
    266.63x = 406.97 × 406.97
  4. Step 4: Simplify right side
    266.63x = 165,623.56
  5. Step 5: Solve for x
    x = 165,623.56/266.63
  6. Step 6: Final answer
    x = 621.19

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