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Finding the Third Proportional to 135,131 and 211,976

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Solution

The third proportional to 135,131 and 211,976 is: 332,520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,131 : 211,976 = 211,976 : x
  2. Step 2: Convert to fraction form
    135,131/211,976 = 211,976/x
  3. Step 3: Cross multiply
    135,131x = 211,976 × 211,976
  4. Step 4: Simplify right side
    135,131x = 44,933,824,576
  5. Step 5: Solve for x
    x = 44,933,824,576/135,131
  6. Step 6: Final answer
    x = 332,520.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.