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Finding the Third Proportional to 122,145 and 269,137

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Solution

The third proportional to 122,145 and 269,137 is: 593,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,145 : 269,137 = 269,137 : x
  2. Step 2: Convert to fraction form
    122,145/269,137 = 269,137/x
  3. Step 3: Cross multiply
    122,145x = 269,137 × 269,137
  4. Step 4: Simplify right side
    122,145x = 72,434,724,769
  5. Step 5: Solve for x
    x = 72,434,724,769/122,145
  6. Step 6: Final answer
    x = 593,022.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.