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Finding the Third Proportional to 121,999 and 259,550

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Solution

The third proportional to 121,999 and 259,550 is: 552,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,999 : 259,550 = 259,550 : x
  2. Step 2: Convert to fraction form
    121,999/259,550 = 259,550/x
  3. Step 3: Cross multiply
    121,999x = 259,550 × 259,550
  4. Step 4: Simplify right side
    121,999x = 67,366,202,500
  5. Step 5: Solve for x
    x = 67,366,202,500/121,999
  6. Step 6: Final answer
    x = 552,186.51

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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.