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Finding the Third Proportional to 132,453 and 199,227

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Solution

The third proportional to 132,453 and 199,227 is: 299,664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,453 : 199,227 = 199,227 : x
  2. Step 2: Convert to fraction form
    132,453/199,227 = 199,227/x
  3. Step 3: Cross multiply
    132,453x = 199,227 × 199,227
  4. Step 4: Simplify right side
    132,453x = 39,691,397,529
  5. Step 5: Solve for x
    x = 39,691,397,529/132,453
  6. Step 6: Final answer
    x = 299,664.01

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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.