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Finding the Third Proportional to 122,799 and 271,407

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Solution

The third proportional to 122,799 and 271,407 is: 599,856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,799 : 271,407 = 271,407 : x
  2. Step 2: Convert to fraction form
    122,799/271,407 = 271,407/x
  3. Step 3: Cross multiply
    122,799x = 271,407 × 271,407
  4. Step 4: Simplify right side
    122,799x = 73,661,759,649
  5. Step 5: Solve for x
    x = 73,661,759,649/122,799
  6. Step 6: Final answer
    x = 599,856.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.