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Finding the Third Proportional to 120,784.50 and 199,626.75

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Solution

The third proportional to 120,784.50 and 199,626.75 is: 329,933.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,784.50 : 199,626.75 = 199,626.75 : x
  2. Step 2: Convert to fraction form
    120,784.50/199,626.75 = 199,626.75/x
  3. Step 3: Cross multiply
    120,784.50x = 199,626.75 × 199,626.75
  4. Step 4: Simplify right side
    120,784.50x = 39,850,839,315.56
  5. Step 5: Solve for x
    x = 39,850,839,315.56/120,784.50
  6. Step 6: Final answer
    x = 329,933.39

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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.