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Finding the Third Proportional to 126,236.25 and 189,678

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Solution

The third proportional to 126,236.25 and 189,678 is: 285,003.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,236.25 : 189,678 = 189,678 : x
  2. Step 2: Convert to fraction form
    126,236.25/189,678 = 189,678/x
  3. Step 3: Cross multiply
    126,236.25x = 189,678 × 189,678
  4. Step 4: Simplify right side
    126,236.25x = 35,977,743,684
  5. Step 5: Solve for x
    x = 35,977,743,684/126,236.25
  6. Step 6: Final answer
    x = 285,003.27

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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.