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Finding the Third Proportional to 150,919.50 and 204,234.75

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Solution

The third proportional to 150,919.50 and 204,234.75 is: 276,384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,919.50 : 204,234.75 = 204,234.75 : x
  2. Step 2: Convert to fraction form
    150,919.50/204,234.75 = 204,234.75/x
  3. Step 3: Cross multiply
    150,919.50x = 204,234.75 × 204,234.75
  4. Step 4: Simplify right side
    150,919.50x = 41,711,833,107.56
  5. Step 5: Solve for x
    x = 41,711,833,107.56/150,919.50
  6. Step 6: Final answer
    x = 276,384.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.