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Finding the Third Proportional to 290,539.41 and 629,334.56

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Solution

The third proportional to 290,539.41 and 629,334.56 is: 1,363,195.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,539.41 : 629,334.56 = 629,334.56 : x
  2. Step 2: Convert to fraction form
    290,539.41/629,334.56 = 629,334.56/x
  3. Step 3: Cross multiply
    290,539.41x = 629,334.56 × 629,334.56
  4. Step 4: Simplify right side
    290,539.41x = 396,061,991,557.07
  5. Step 5: Solve for x
    x = 396,061,991,557.07/290,539.41
  6. Step 6: Final answer
    x = 1,363,195.43

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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.