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Finding the Third Proportional to 120,784 and 199,626

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Solution

The third proportional to 120,784 and 199,626 is: 329,932.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,784 : 199,626 = 199,626 : x
  2. Step 2: Convert to fraction form
    120,784/199,626 = 199,626/x
  3. Step 3: Cross multiply
    120,784x = 199,626 × 199,626
  4. Step 4: Simplify right side
    120,784x = 39,850,539,876
  5. Step 5: Solve for x
    x = 39,850,539,876/120,784
  6. Step 6: Final answer
    x = 329,932.27

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.