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Finding the Third Proportional to 266.20 and 405.42

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Solution

The third proportional to 266.20 and 405.42 is: 617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.20 : 405.42 = 405.42 : x
  2. Step 2: Convert to fraction form
    266.20/405.42 = 405.42/x
  3. Step 3: Cross multiply
    266.20x = 405.42 × 405.42
  4. Step 4: Simplify right side
    266.20x = 164,366.90
  5. Step 5: Solve for x
    x = 164,366.90/266.20
  6. Step 6: Final answer
    x = 617.45

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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.