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Finding the Third Proportional to 139,288 and 212,198

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Solution

The third proportional to 139,288 and 212,198 is: 323,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,288 : 212,198 = 212,198 : x
  2. Step 2: Convert to fraction form
    139,288/212,198 = 212,198/x
  3. Step 3: Cross multiply
    139,288x = 212,198 × 212,198
  4. Step 4: Simplify right side
    139,288x = 45,027,991,204
  5. Step 5: Solve for x
    x = 45,027,991,204/139,288
  6. Step 6: Final answer
    x = 323,272.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.