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Finding the Third Proportional to 682,767 and 1,409,643

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Solution

The third proportional to 682,767 and 1,409,643 is: 2,910,353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,767 : 1,409,643 = 1,409,643 : x
  2. Step 2: Convert to fraction form
    682,767/1,409,643 = 1,409,643/x
  3. Step 3: Cross multiply
    682,767x = 1,409,643 × 1,409,643
  4. Step 4: Simplify right side
    682,767x = 1,987,093,387,449
  5. Step 5: Solve for x
    x = 1,987,093,387,449/682,767
  6. Step 6: Final answer
    x = 2,910,353.59

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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.