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Finding the Third Proportional to 126,738 and 189,727

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Solution

The third proportional to 126,738 and 189,727 is: 284,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,738 : 189,727 = 189,727 : x
  2. Step 2: Convert to fraction form
    126,738/189,727 = 189,727/x
  3. Step 3: Cross multiply
    126,738x = 189,727 × 189,727
  4. Step 4: Simplify right side
    126,738x = 35,996,334,529
  5. Step 5: Solve for x
    x = 35,996,334,529/126,738
  6. Step 6: Final answer
    x = 284,021.64

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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.