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Finding the Third Proportional to 133,558 and 199,913

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Solution

The third proportional to 133,558 and 199,913 is: 299,234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,558 : 199,913 = 199,913 : x
  2. Step 2: Convert to fraction form
    133,558/199,913 = 199,913/x
  3. Step 3: Cross multiply
    133,558x = 199,913 × 199,913
  4. Step 4: Simplify right side
    133,558x = 39,965,207,569
  5. Step 5: Solve for x
    x = 39,965,207,569/133,558
  6. Step 6: Final answer
    x = 299,234.85

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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.