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Finding the Third Proportional to 192,156.75 and 288,850.50

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Solution

The third proportional to 192,156.75 and 288,850.50 is: 434,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,156.75 : 288,850.50 = 288,850.50 : x
  2. Step 2: Convert to fraction form
    192,156.75/288,850.50 = 288,850.50/x
  3. Step 3: Cross multiply
    192,156.75x = 288,850.50 × 288,850.50
  4. Step 4: Simplify right side
    192,156.75x = 83,434,611,350.25
  5. Step 5: Solve for x
    x = 83,434,611,350.25/192,156.75
  6. Step 6: Final answer
    x = 434,200.78

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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.