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Finding the Third Proportional to 126,386 and 189,903

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Solution

The third proportional to 126,386 and 189,903 is: 285,341.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,386 : 189,903 = 189,903 : x
  2. Step 2: Convert to fraction form
    126,386/189,903 = 189,903/x
  3. Step 3: Cross multiply
    126,386x = 189,903 × 189,903
  4. Step 4: Simplify right side
    126,386x = 36,063,149,409
  5. Step 5: Solve for x
    x = 36,063,149,409/126,386
  6. Step 6: Final answer
    x = 285,341.33

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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.