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Finding the Third Proportional to 121,181 and 259,210

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Solution

The third proportional to 121,181 and 259,210 is: 554,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,181 : 259,210 = 259,210 : x
  2. Step 2: Convert to fraction form
    121,181/259,210 = 259,210/x
  3. Step 3: Cross multiply
    121,181x = 259,210 × 259,210
  4. Step 4: Simplify right side
    121,181x = 67,189,824,100
  5. Step 5: Solve for x
    x = 67,189,824,100/121,181
  6. Step 6: Final answer
    x = 554,458.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.