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Finding the Third Proportional to 266.34 and 382.36

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Solution

The third proportional to 266.34 and 382.36 is: 548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.34 : 382.36 = 382.36 : x
  2. Step 2: Convert to fraction form
    266.34/382.36 = 382.36/x
  3. Step 3: Cross multiply
    266.34x = 382.36 × 382.36
  4. Step 4: Simplify right side
    266.34x = 146,198.69
  5. Step 5: Solve for x
    x = 146,198.69/266.34
  6. Step 6: Final answer
    x = 548.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.