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Finding the Third Proportional to 122,138 and 261,796

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Solution

The third proportional to 122,138 and 261,796 is: 561,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,138 : 261,796 = 261,796 : x
  2. Step 2: Convert to fraction form
    122,138/261,796 = 261,796/x
  3. Step 3: Cross multiply
    122,138x = 261,796 × 261,796
  4. Step 4: Simplify right side
    122,138x = 68,537,145,616
  5. Step 5: Solve for x
    x = 68,537,145,616/122,138
  6. Step 6: Final answer
    x = 561,145.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.