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Finding the Third Proportional to 426,821 and 892,847

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Solution

The third proportional to 426,821 and 892,847 is: 1,867,705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,821 : 892,847 = 892,847 : x
  2. Step 2: Convert to fraction form
    426,821/892,847 = 892,847/x
  3. Step 3: Cross multiply
    426,821x = 892,847 × 892,847
  4. Step 4: Simplify right side
    426,821x = 797,175,765,409
  5. Step 5: Solve for x
    x = 797,175,765,409/426,821
  6. Step 6: Final answer
    x = 1,867,705.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.