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Finding the Third Proportional to 133,045 and 199,042

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Solution

The third proportional to 133,045 and 199,042 is: 297,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,045 : 199,042 = 199,042 : x
  2. Step 2: Convert to fraction form
    133,045/199,042 = 199,042/x
  3. Step 3: Cross multiply
    133,045x = 199,042 × 199,042
  4. Step 4: Simplify right side
    133,045x = 39,617,717,764
  5. Step 5: Solve for x
    x = 39,617,717,764/133,045
  6. Step 6: Final answer
    x = 297,776.83

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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.