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Finding the Third Proportional to 135,252 and 212,163

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Solution

The third proportional to 135,252 and 212,163 is: 332,809.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,252 : 212,163 = 212,163 : x
  2. Step 2: Convert to fraction form
    135,252/212,163 = 212,163/x
  3. Step 3: Cross multiply
    135,252x = 212,163 × 212,163
  4. Step 4: Simplify right side
    135,252x = 45,013,138,569
  5. Step 5: Solve for x
    x = 45,013,138,569/135,252
  6. Step 6: Final answer
    x = 332,809.41

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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.