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Finding the Third Proportional to 300,855 and 660,751

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Solution

The third proportional to 300,855 and 660,751 is: 1,451,170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,855 : 660,751 = 660,751 : x
  2. Step 2: Convert to fraction form
    300,855/660,751 = 660,751/x
  3. Step 3: Cross multiply
    300,855x = 660,751 × 660,751
  4. Step 4: Simplify right side
    300,855x = 436,591,884,001
  5. Step 5: Solve for x
    x = 436,591,884,001/300,855
  6. Step 6: Final answer
    x = 1,451,170.44

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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.