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Finding the Third Proportional to 121,221 and 259,290

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Solution

The third proportional to 121,221 and 259,290 is: 554,617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,221 : 259,290 = 259,290 : x
  2. Step 2: Convert to fraction form
    121,221/259,290 = 259,290/x
  3. Step 3: Cross multiply
    121,221x = 259,290 × 259,290
  4. Step 4: Simplify right side
    121,221x = 67,231,304,100
  5. Step 5: Solve for x
    x = 67,231,304,100/121,221
  6. Step 6: Final answer
    x = 554,617.63

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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.