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Finding the Third Proportional to 120,960.75 and 192,166.50

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Solution

The third proportional to 120,960.75 and 192,166.50 is: 305,288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,960.75 : 192,166.50 = 192,166.50 : x
  2. Step 2: Convert to fraction form
    120,960.75/192,166.50 = 192,166.50/x
  3. Step 3: Cross multiply
    120,960.75x = 192,166.50 × 192,166.50
  4. Step 4: Simplify right side
    120,960.75x = 36,927,963,722.25
  5. Step 5: Solve for x
    x = 36,927,963,722.25/120,960.75
  6. Step 6: Final answer
    x = 305,288.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.