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Finding the Third Proportional to 300,847 and 660,735

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Solution

The third proportional to 300,847 and 660,735 is: 1,451,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,847 : 660,735 = 660,735 : x
  2. Step 2: Convert to fraction form
    300,847/660,735 = 660,735/x
  3. Step 3: Cross multiply
    300,847x = 660,735 × 660,735
  4. Step 4: Simplify right side
    300,847x = 436,570,740,225
  5. Step 5: Solve for x
    x = 436,570,740,225/300,847
  6. Step 6: Final answer
    x = 1,451,138.75

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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.