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Finding the Third Proportional to 143,529.75 and 308,997.56

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Solution

The third proportional to 143,529.75 and 308,997.56 is: 665,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,529.75 : 308,997.56 = 308,997.56 : x
  2. Step 2: Convert to fraction form
    143,529.75/308,997.56 = 308,997.56/x
  3. Step 3: Cross multiply
    143,529.75x = 308,997.56 × 308,997.56
  4. Step 4: Simplify right side
    143,529.75x = 95,479,493,630.94
  5. Step 5: Solve for x
    x = 95,479,493,630.94/143,529.75
  6. Step 6: Final answer
    x = 665,224.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.