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Finding the Third Proportional to 133,042 and 199,086

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Solution

The third proportional to 133,042 and 199,086 is: 297,915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,042 : 199,086 = 199,086 : x
  2. Step 2: Convert to fraction form
    133,042/199,086 = 199,086/x
  3. Step 3: Cross multiply
    133,042x = 199,086 × 199,086
  4. Step 4: Simplify right side
    133,042x = 39,635,235,396
  5. Step 5: Solve for x
    x = 39,635,235,396/133,042
  6. Step 6: Final answer
    x = 297,915.21

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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.