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Finding the Third Proportional to 682,641 and 1,489,698

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Solution

The third proportional to 682,641 and 1,489,698 is: 3,250,903.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,641 : 1,489,698 = 1,489,698 : x
  2. Step 2: Convert to fraction form
    682,641/1,489,698 = 1,489,698/x
  3. Step 3: Cross multiply
    682,641x = 1,489,698 × 1,489,698
  4. Step 4: Simplify right side
    682,641x = 2,219,200,131,204
  5. Step 5: Solve for x
    x = 2,219,200,131,204/682,641
  6. Step 6: Final answer
    x = 3,250,903.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.