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Finding the Third Proportional to 276,112 and 603,920

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Solution

The third proportional to 276,112 and 603,920 is: 1,320,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,112 : 603,920 = 603,920 : x
  2. Step 2: Convert to fraction form
    276,112/603,920 = 603,920/x
  3. Step 3: Cross multiply
    276,112x = 603,920 × 603,920
  4. Step 4: Simplify right side
    276,112x = 364,719,366,400
  5. Step 5: Solve for x
    x = 364,719,366,400/276,112
  6. Step 6: Final answer
    x = 1,320,910.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.