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Finding the Third Proportional to 133.88 and 213.19

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Solution

The third proportional to 133.88 and 213.19 is: 339.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.88 : 213.19 = 213.19 : x
  2. Step 2: Convert to fraction form
    133.88/213.19 = 213.19/x
  3. Step 3: Cross multiply
    133.88x = 213.19 × 213.19
  4. Step 4: Simplify right side
    133.88x = 45,448.91
  5. Step 5: Solve for x
    x = 45,448.91/133.88
  6. Step 6: Final answer
    x = 339.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.