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Finding the Third Proportional to 137.16 and 213.34

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Solution

The third proportional to 137.16 and 213.34 is: 331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.16 : 213.34 = 213.34 : x
  2. Step 2: Convert to fraction form
    137.16/213.34 = 213.34/x
  3. Step 3: Cross multiply
    137.16x = 213.34 × 213.34
  4. Step 4: Simplify right side
    137.16x = 45,512.64
  5. Step 5: Solve for x
    x = 45,512.64/137.16
  6. Step 6: Final answer
    x = 331.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.