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Finding the Third Proportional to 263,999.75 and 378,311.25

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Solution

The third proportional to 263,999.75 and 378,311.25 is: 542,119.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,999.75 : 378,311.25 = 378,311.25 : x
  2. Step 2: Convert to fraction form
    263,999.75/378,311.25 = 378,311.25/x
  3. Step 3: Cross multiply
    263,999.75x = 378,311.25 × 378,311.25
  4. Step 4: Simplify right side
    263,999.75x = 143,119,401,876.56
  5. Step 5: Solve for x
    x = 143,119,401,876.56/263,999.75
  6. Step 6: Final answer
    x = 542,119.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.