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Finding the Third Proportional to 258,450.75 and 378,675

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Solution

The third proportional to 258,450.75 and 378,675 is: 554,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,450.75 : 378,675 = 378,675 : x
  2. Step 2: Convert to fraction form
    258,450.75/378,675 = 378,675/x
  3. Step 3: Cross multiply
    258,450.75x = 378,675 × 378,675
  4. Step 4: Simplify right side
    258,450.75x = 143,394,755,625
  5. Step 5: Solve for x
    x = 143,394,755,625/258,450.75
  6. Step 6: Final answer
    x = 554,824.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.