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Finding the Third Proportional to 126,717.75 and 189,702

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Solution

The third proportional to 126,717.75 and 189,702 is: 283,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,717.75 : 189,702 = 189,702 : x
  2. Step 2: Convert to fraction form
    126,717.75/189,702 = 189,702/x
  3. Step 3: Cross multiply
    126,717.75x = 189,702 × 189,702
  4. Step 4: Simplify right side
    126,717.75x = 35,986,848,804
  5. Step 5: Solve for x
    x = 35,986,848,804/126,717.75
  6. Step 6: Final answer
    x = 283,992.17

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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.