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Finding the Third Proportional to 682,438 and 1,408,588

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Solution

The third proportional to 682,438 and 1,408,588 is: 2,907,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,438 : 1,408,588 = 1,408,588 : x
  2. Step 2: Convert to fraction form
    682,438/1,408,588 = 1,408,588/x
  3. Step 3: Cross multiply
    682,438x = 1,408,588 × 1,408,588
  4. Step 4: Simplify right side
    682,438x = 1,984,120,153,744
  5. Step 5: Solve for x
    x = 1,984,120,153,744/682,438
  6. Step 6: Final answer
    x = 2,907,399.87

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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.