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Finding the Third Proportional to 122,409 and 259,512

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Solution

The third proportional to 122,409 and 259,512 is: 550,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,409 : 259,512 = 259,512 : x
  2. Step 2: Convert to fraction form
    122,409/259,512 = 259,512/x
  3. Step 3: Cross multiply
    122,409x = 259,512 × 259,512
  4. Step 4: Simplify right side
    122,409x = 67,346,478,144
  5. Step 5: Solve for x
    x = 67,346,478,144/122,409
  6. Step 6: Final answer
    x = 550,175.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.