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Finding the Third Proportional to 422,836 and 647,652

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Solution

The third proportional to 422,836 and 647,652 is: 991,999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,836 : 647,652 = 647,652 : x
  2. Step 2: Convert to fraction form
    422,836/647,652 = 647,652/x
  3. Step 3: Cross multiply
    422,836x = 647,652 × 647,652
  4. Step 4: Simplify right side
    422,836x = 419,453,113,104
  5. Step 5: Solve for x
    x = 419,453,113,104/422,836
  6. Step 6: Final answer
    x = 991,999.53

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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.