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Finding the Third Proportional to 133,089 and 199,634

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Solution

The third proportional to 133,089 and 199,634 is: 299,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,089 : 199,634 = 199,634 : x
  2. Step 2: Convert to fraction form
    133,089/199,634 = 199,634/x
  3. Step 3: Cross multiply
    133,089x = 199,634 × 199,634
  4. Step 4: Simplify right side
    133,089x = 39,853,733,956
  5. Step 5: Solve for x
    x = 39,853,733,956/133,089
  6. Step 6: Final answer
    x = 299,451.75

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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.