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Finding the Third Proportional to 315,067 and 683,647

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Solution

The third proportional to 315,067 and 683,647 is: 1,483,408.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,067 : 683,647 = 683,647 : x
  2. Step 2: Convert to fraction form
    315,067/683,647 = 683,647/x
  3. Step 3: Cross multiply
    315,067x = 683,647 × 683,647
  4. Step 4: Simplify right side
    315,067x = 467,373,220,609
  5. Step 5: Solve for x
    x = 467,373,220,609/315,067
  6. Step 6: Final answer
    x = 1,483,408.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.