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Finding the Third Proportional to 126,389 and 189,908

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Solution

The third proportional to 126,389 and 189,908 is: 285,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,389 : 189,908 = 189,908 : x
  2. Step 2: Convert to fraction form
    126,389/189,908 = 189,908/x
  3. Step 3: Cross multiply
    126,389x = 189,908 × 189,908
  4. Step 4: Simplify right side
    126,389x = 36,065,048,464
  5. Step 5: Solve for x
    x = 36,065,048,464/126,389
  6. Step 6: Final answer
    x = 285,349.58

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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.