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Finding the Third Proportional to 135,396 and 211,734

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Solution

The third proportional to 135,396 and 211,734 is: 331,112.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,396 : 211,734 = 211,734 : x
  2. Step 2: Convert to fraction form
    135,396/211,734 = 211,734/x
  3. Step 3: Cross multiply
    135,396x = 211,734 × 211,734
  4. Step 4: Simplify right side
    135,396x = 44,831,286,756
  5. Step 5: Solve for x
    x = 44,831,286,756/135,396
  6. Step 6: Final answer
    x = 331,112.34

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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.