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Finding the Third Proportional to 121,213 and 259,274

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Solution

The third proportional to 121,213 and 259,274 is: 554,585.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,213 : 259,274 = 259,274 : x
  2. Step 2: Convert to fraction form
    121,213/259,274 = 259,274/x
  3. Step 3: Cross multiply
    121,213x = 259,274 × 259,274
  4. Step 4: Simplify right side
    121,213x = 67,223,007,076
  5. Step 5: Solve for x
    x = 67,223,007,076/121,213
  6. Step 6: Final answer
    x = 554,585.79

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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.