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Finding the Third Proportional to 135,236 and 212,138

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Solution

The third proportional to 135,236 and 212,138 is: 332,770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,236 : 212,138 = 212,138 : x
  2. Step 2: Convert to fraction form
    135,236/212,138 = 212,138/x
  3. Step 3: Cross multiply
    135,236x = 212,138 × 212,138
  4. Step 4: Simplify right side
    135,236x = 45,002,531,044
  5. Step 5: Solve for x
    x = 45,002,531,044/135,236
  6. Step 6: Final answer
    x = 332,770.35

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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.