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Finding the Third Proportional to 300,898 and 660,836

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Solution

The third proportional to 300,898 and 660,836 is: 1,451,336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,898 : 660,836 = 660,836 : x
  2. Step 2: Convert to fraction form
    300,898/660,836 = 660,836/x
  3. Step 3: Cross multiply
    300,898x = 660,836 × 660,836
  4. Step 4: Simplify right side
    300,898x = 436,704,218,896
  5. Step 5: Solve for x
    x = 436,704,218,896/300,898
  6. Step 6: Final answer
    x = 1,451,336.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.