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Finding the Third Proportional to 133.22 and 252.52

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Solution

The third proportional to 133.22 and 252.52 is: 478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.22 : 252.52 = 252.52 : x
  2. Step 2: Convert to fraction form
    133.22/252.52 = 252.52/x
  3. Step 3: Cross multiply
    133.22x = 252.52 × 252.52
  4. Step 4: Simplify right side
    133.22x = 63,764.14
  5. Step 5: Solve for x
    x = 63,764.14/133.22
  6. Step 6: Final answer
    x = 478.64

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.