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Finding the Third Proportional to 422,919 and 647,775

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Solution

The third proportional to 422,919 and 647,775 is: 992,181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,919 : 647,775 = 647,775 : x
  2. Step 2: Convert to fraction form
    422,919/647,775 = 647,775/x
  3. Step 3: Cross multiply
    422,919x = 647,775 × 647,775
  4. Step 4: Simplify right side
    422,919x = 419,612,450,625
  5. Step 5: Solve for x
    x = 419,612,450,625/422,919
  6. Step 6: Final answer
    x = 992,181.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.