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Finding the Third Proportional to 300,786.75 and 668,814.75

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Solution

The third proportional to 300,786.75 and 668,814.75 is: 1,487,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,786.75 : 668,814.75 = 668,814.75 : x
  2. Step 2: Convert to fraction form
    300,786.75/668,814.75 = 668,814.75/x
  3. Step 3: Cross multiply
    300,786.75x = 668,814.75 × 668,814.75
  4. Step 4: Simplify right side
    300,786.75x = 447,313,169,817.56
  5. Step 5: Solve for x
    x = 447,313,169,817.56/300,786.75
  6. Step 6: Final answer
    x = 1,487,143.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.