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Finding the Third Proportional to 422,739 and 879,903

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Solution

The third proportional to 422,739 and 879,903 is: 1,831,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,739 : 879,903 = 879,903 : x
  2. Step 2: Convert to fraction form
    422,739/879,903 = 879,903/x
  3. Step 3: Cross multiply
    422,739x = 879,903 × 879,903
  4. Step 4: Simplify right side
    422,739x = 774,229,289,409
  5. Step 5: Solve for x
    x = 774,229,289,409/422,739
  6. Step 6: Final answer
    x = 1,831,459.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.