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Finding the Third Proportional to 122,940 and 189,868

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Solution

The third proportional to 122,940 and 189,868 is: 293,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,940 : 189,868 = 189,868 : x
  2. Step 2: Convert to fraction form
    122,940/189,868 = 189,868/x
  3. Step 3: Cross multiply
    122,940x = 189,868 × 189,868
  4. Step 4: Simplify right side
    122,940x = 36,049,857,424
  5. Step 5: Solve for x
    x = 36,049,857,424/122,940
  6. Step 6: Final answer
    x = 293,231.31

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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.