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Finding the Third Proportional to 126,760 and 189,745

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Solution

The third proportional to 126,760 and 189,745 is: 284,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,760 : 189,745 = 189,745 : x
  2. Step 2: Convert to fraction form
    126,760/189,745 = 189,745/x
  3. Step 3: Cross multiply
    126,760x = 189,745 × 189,745
  4. Step 4: Simplify right side
    126,760x = 36,003,165,025
  5. Step 5: Solve for x
    x = 36,003,165,025/126,760
  6. Step 6: Final answer
    x = 284,026.23

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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.