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Finding the Third Proportional to 254,517.75 and 378,083.25

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Solution

The third proportional to 254,517.75 and 378,083.25 is: 561,638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,517.75 : 378,083.25 = 378,083.25 : x
  2. Step 2: Convert to fraction form
    254,517.75/378,083.25 = 378,083.25/x
  3. Step 3: Cross multiply
    254,517.75x = 378,083.25 × 378,083.25
  4. Step 4: Simplify right side
    254,517.75x = 142,946,943,930.56
  5. Step 5: Solve for x
    x = 142,946,943,930.56/254,517.75
  6. Step 6: Final answer
    x = 561,638.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.