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Finding the Third Proportional to 126,351 and 189,331

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Solution

The third proportional to 126,351 and 189,331 is: 283,703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,351 : 189,331 = 189,331 : x
  2. Step 2: Convert to fraction form
    126,351/189,331 = 189,331/x
  3. Step 3: Cross multiply
    126,351x = 189,331 × 189,331
  4. Step 4: Simplify right side
    126,351x = 35,846,227,561
  5. Step 5: Solve for x
    x = 35,846,227,561/126,351
  6. Step 6: Final answer
    x = 283,703.55

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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.