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Finding the Third Proportional to 121,996 and 259,544

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Solution

The third proportional to 121,996 and 259,544 is: 552,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,996 : 259,544 = 259,544 : x
  2. Step 2: Convert to fraction form
    121,996/259,544 = 259,544/x
  3. Step 3: Cross multiply
    121,996x = 259,544 × 259,544
  4. Step 4: Simplify right side
    121,996x = 67,363,087,936
  5. Step 5: Solve for x
    x = 67,363,087,936/121,996
  6. Step 6: Final answer
    x = 552,174.56

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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.