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Finding the Third Proportional to 276,285.94 and 412,722.84

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Solution

The third proportional to 276,285.94 and 412,722.84 is: 616,535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,285.94 : 412,722.84 = 412,722.84 : x
  2. Step 2: Convert to fraction form
    276,285.94/412,722.84 = 412,722.84/x
  3. Step 3: Cross multiply
    276,285.94x = 412,722.84 × 412,722.84
  4. Step 4: Simplify right side
    276,285.94x = 170,340,145,753.09
  5. Step 5: Solve for x
    x = 170,340,145,753.09/276,285.94
  6. Step 6: Final answer
    x = 616,535.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.