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Finding the Third Proportional to 121,866 and 259,252

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Solution

The third proportional to 121,866 and 259,252 is: 551,520.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,866 : 259,252 = 259,252 : x
  2. Step 2: Convert to fraction form
    121,866/259,252 = 259,252/x
  3. Step 3: Cross multiply
    121,866x = 259,252 × 259,252
  4. Step 4: Simplify right side
    121,866x = 67,211,599,504
  5. Step 5: Solve for x
    x = 67,211,599,504/121,866
  6. Step 6: Final answer
    x = 551,520.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.