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Finding the Third Proportional to 290,440.25 and 629,131

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Solution

The third proportional to 290,440.25 and 629,131 is: 1,362,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,440.25 : 629,131 = 629,131 : x
  2. Step 2: Convert to fraction form
    290,440.25/629,131 = 629,131/x
  3. Step 3: Cross multiply
    290,440.25x = 629,131 × 629,131
  4. Step 4: Simplify right side
    290,440.25x = 395,805,815,161
  5. Step 5: Solve for x
    x = 395,805,815,161/290,440.25
  6. Step 6: Final answer
    x = 1,362,778.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.