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Finding the Third Proportional to 422,400 and 879,747

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Solution

The third proportional to 422,400 and 879,747 is: 1,832,279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,400 : 879,747 = 879,747 : x
  2. Step 2: Convert to fraction form
    422,400/879,747 = 879,747/x
  3. Step 3: Cross multiply
    422,400x = 879,747 × 879,747
  4. Step 4: Simplify right side
    422,400x = 773,954,784,009
  5. Step 5: Solve for x
    x = 773,954,784,009/422,400
  6. Step 6: Final answer
    x = 1,832,279.32

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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.