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Finding the Third Proportional to 127,039.50 and 189,942.75

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Solution

The third proportional to 127,039.50 and 189,942.75 is: 283,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,039.50 : 189,942.75 = 189,942.75 : x
  2. Step 2: Convert to fraction form
    127,039.50/189,942.75 = 189,942.75/x
  3. Step 3: Cross multiply
    127,039.50x = 189,942.75 × 189,942.75
  4. Step 4: Simplify right side
    127,039.50x = 36,078,248,277.56
  5. Step 5: Solve for x
    x = 36,078,248,277.56/127,039.50
  6. Step 6: Final answer
    x = 283,992.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.