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Finding the Third Proportional to 128,105.25 and 203,562.75

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Solution

The third proportional to 128,105.25 and 203,562.75 is: 323,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,105.25 : 203,562.75 = 203,562.75 : x
  2. Step 2: Convert to fraction form
    128,105.25/203,562.75 = 203,562.75/x
  3. Step 3: Cross multiply
    128,105.25x = 203,562.75 × 203,562.75
  4. Step 4: Simplify right side
    128,105.25x = 41,437,793,187.56
  5. Step 5: Solve for x
    x = 41,437,793,187.56/128,105.25
  6. Step 6: Final answer
    x = 323,466.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.