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Finding the Third Proportional to 422,835.75 and 647,649

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Solution

The third proportional to 422,835.75 and 647,649 is: 991,990.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,835.75 : 647,649 = 647,649 : x
  2. Step 2: Convert to fraction form
    422,835.75/647,649 = 647,649/x
  3. Step 3: Cross multiply
    422,835.75x = 647,649 × 647,649
  4. Step 4: Simplify right side
    422,835.75x = 419,449,227,201
  5. Step 5: Solve for x
    x = 419,449,227,201/422,835.75
  6. Step 6: Final answer
    x = 991,990.93

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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.