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Finding the Third Proportional to 132,678 and 198,936

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Solution

The third proportional to 132,678 and 198,936 is: 298,282.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,678 : 198,936 = 198,936 : x
  2. Step 2: Convert to fraction form
    132,678/198,936 = 198,936/x
  3. Step 3: Cross multiply
    132,678x = 198,936 × 198,936
  4. Step 4: Simplify right side
    132,678x = 39,575,532,096
  5. Step 5: Solve for x
    x = 39,575,532,096/132,678
  6. Step 6: Final answer
    x = 298,282.55

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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.