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Finding the Third Proportional to 133,612 and 199,769

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Solution

The third proportional to 133,612 and 199,769 is: 298,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,612 : 199,769 = 199,769 : x
  2. Step 2: Convert to fraction form
    133,612/199,769 = 199,769/x
  3. Step 3: Cross multiply
    133,612x = 199,769 × 199,769
  4. Step 4: Simplify right side
    133,612x = 39,907,653,361
  5. Step 5: Solve for x
    x = 39,907,653,361/133,612
  6. Step 6: Final answer
    x = 298,683.15

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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.