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Finding the Third Proportional to 132,296 and 198,742

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Solution

The third proportional to 132,296 and 198,742 is: 298,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,296 : 198,742 = 198,742 : x
  2. Step 2: Convert to fraction form
    132,296/198,742 = 198,742/x
  3. Step 3: Cross multiply
    132,296x = 198,742 × 198,742
  4. Step 4: Simplify right side
    132,296x = 39,498,382,564
  5. Step 5: Solve for x
    x = 39,498,382,564/132,296
  6. Step 6: Final answer
    x = 298,560.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.