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Finding the Third Proportional to 143,754.50 and 205,845.75

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Solution

The third proportional to 143,754.50 and 205,845.75 is: 294,755.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,754.50 : 205,845.75 = 205,845.75 : x
  2. Step 2: Convert to fraction form
    143,754.50/205,845.75 = 205,845.75/x
  3. Step 3: Cross multiply
    143,754.50x = 205,845.75 × 205,845.75
  4. Step 4: Simplify right side
    143,754.50x = 42,372,472,793.06
  5. Step 5: Solve for x
    x = 42,372,472,793.06/143,754.50
  6. Step 6: Final answer
    x = 294,755.80

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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.