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Finding the Third Proportional to 122,961 and 269,088

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Solution

The third proportional to 122,961 and 269,088 is: 588,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,961 : 269,088 = 269,088 : x
  2. Step 2: Convert to fraction form
    122,961/269,088 = 269,088/x
  3. Step 3: Cross multiply
    122,961x = 269,088 × 269,088
  4. Step 4: Simplify right side
    122,961x = 72,408,351,744
  5. Step 5: Solve for x
    x = 72,408,351,744/122,961
  6. Step 6: Final answer
    x = 588,872.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.