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Finding the Third Proportional to 422,268 and 879,366

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Solution

The third proportional to 422,268 and 879,366 is: 1,831,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,268 : 879,366 = 879,366 : x
  2. Step 2: Convert to fraction form
    422,268/879,366 = 879,366/x
  3. Step 3: Cross multiply
    422,268x = 879,366 × 879,366
  4. Step 4: Simplify right side
    422,268x = 773,284,561,956
  5. Step 5: Solve for x
    x = 773,284,561,956/422,268
  6. Step 6: Final answer
    x = 1,831,264.89

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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.