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Finding the Third Proportional to 276,300.50 and 419,856.75

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Solution

The third proportional to 276,300.50 and 419,856.75 is: 637,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,300.50 : 419,856.75 = 419,856.75 : x
  2. Step 2: Convert to fraction form
    276,300.50/419,856.75 = 419,856.75/x
  3. Step 3: Cross multiply
    276,300.50x = 419,856.75 × 419,856.75
  4. Step 4: Simplify right side
    276,300.50x = 176,279,690,520.56
  5. Step 5: Solve for x
    x = 176,279,690,520.56/276,300.50
  6. Step 6: Final answer
    x = 637,999.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.