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Finding the Third Proportional to 122,940 and 192,018

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Solution

The third proportional to 122,940 and 192,018 is: 299,909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,940 : 192,018 = 192,018 : x
  2. Step 2: Convert to fraction form
    122,940/192,018 = 192,018/x
  3. Step 3: Cross multiply
    122,940x = 192,018 × 192,018
  4. Step 4: Simplify right side
    122,940x = 36,870,912,324
  5. Step 5: Solve for x
    x = 36,870,912,324/122,940
  6. Step 6: Final answer
    x = 299,909.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.