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Finding the Third Proportional to 422,717 and 860,193

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Solution

The third proportional to 422,717 and 860,193 is: 1,750,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,717 : 860,193 = 860,193 : x
  2. Step 2: Convert to fraction form
    422,717/860,193 = 860,193/x
  3. Step 3: Cross multiply
    422,717x = 860,193 × 860,193
  4. Step 4: Simplify right side
    422,717x = 739,931,997,249
  5. Step 5: Solve for x
    x = 739,931,997,249/422,717
  6. Step 6: Final answer
    x = 1,750,419.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.