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Finding the Third Proportional to 122,950 and 189,885

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Solution

The third proportional to 122,950 and 189,885 is: 293,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,950 : 189,885 = 189,885 : x
  2. Step 2: Convert to fraction form
    122,950/189,885 = 189,885/x
  3. Step 3: Cross multiply
    122,950x = 189,885 × 189,885
  4. Step 4: Simplify right side
    122,950x = 36,056,313,225
  5. Step 5: Solve for x
    x = 36,056,313,225/122,950
  6. Step 6: Final answer
    x = 293,259.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.