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Finding the Third Proportional to 300,809 and 650,704

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Solution

The third proportional to 300,809 and 650,704 is: 1,407,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,809 : 650,704 = 650,704 : x
  2. Step 2: Convert to fraction form
    300,809/650,704 = 650,704/x
  3. Step 3: Cross multiply
    300,809x = 650,704 × 650,704
  4. Step 4: Simplify right side
    300,809x = 423,415,695,616
  5. Step 5: Solve for x
    x = 423,415,695,616/300,809
  6. Step 6: Final answer
    x = 1,407,589.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.