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Finding the Third Proportional to 682,769 and 1,409,647

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Solution

The third proportional to 682,769 and 1,409,647 is: 2,910,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,769 : 1,409,647 = 1,409,647 : x
  2. Step 2: Convert to fraction form
    682,769/1,409,647 = 1,409,647/x
  3. Step 3: Cross multiply
    682,769x = 1,409,647 × 1,409,647
  4. Step 4: Simplify right side
    682,769x = 1,987,104,664,609
  5. Step 5: Solve for x
    x = 1,987,104,664,609/682,769
  6. Step 6: Final answer
    x = 2,910,361.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.