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Finding the Third Proportional to 408,493.50 and 629,965.50

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Solution

The third proportional to 408,493.50 and 629,965.50 is: 971,512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,493.50 : 629,965.50 = 629,965.50 : x
  2. Step 2: Convert to fraction form
    408,493.50/629,965.50 = 629,965.50/x
  3. Step 3: Cross multiply
    408,493.50x = 629,965.50 × 629,965.50
  4. Step 4: Simplify right side
    408,493.50x = 396,856,531,190.25
  5. Step 5: Solve for x
    x = 396,856,531,190.25/408,493.50
  6. Step 6: Final answer
    x = 971,512.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.