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Finding the Third Proportional to 121,997 and 259,546

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Solution

The third proportional to 121,997 and 259,546 is: 552,178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,997 : 259,546 = 259,546 : x
  2. Step 2: Convert to fraction form
    121,997/259,546 = 259,546/x
  3. Step 3: Cross multiply
    121,997x = 259,546 × 259,546
  4. Step 4: Simplify right side
    121,997x = 67,364,126,116
  5. Step 5: Solve for x
    x = 67,364,126,116/121,997
  6. Step 6: Final answer
    x = 552,178.55

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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.