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Finding the Third Proportional to 207,238.50 and 320,015.25

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Solution

The third proportional to 207,238.50 and 320,015.25 is: 494,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,238.50 : 320,015.25 = 320,015.25 : x
  2. Step 2: Convert to fraction form
    207,238.50/320,015.25 = 320,015.25/x
  3. Step 3: Cross multiply
    207,238.50x = 320,015.25 × 320,015.25
  4. Step 4: Simplify right side
    207,238.50x = 102,409,760,232.56
  5. Step 5: Solve for x
    x = 102,409,760,232.56/207,238.50
  6. Step 6: Final answer
    x = 494,163.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.