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Finding the Third Proportional to 122,512 and 259,712

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Solution

The third proportional to 122,512 and 259,712 is: 550,560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,512 : 259,712 = 259,712 : x
  2. Step 2: Convert to fraction form
    122,512/259,712 = 259,712/x
  3. Step 3: Cross multiply
    122,512x = 259,712 × 259,712
  4. Step 4: Simplify right side
    122,512x = 67,450,322,944
  5. Step 5: Solve for x
    x = 67,450,322,944/122,512
  6. Step 6: Final answer
    x = 550,560.95

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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.