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Finding the Third Proportional to 121,306 and 259,238

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Solution

The third proportional to 121,306 and 259,238 is: 554,006.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,306 : 259,238 = 259,238 : x
  2. Step 2: Convert to fraction form
    121,306/259,238 = 259,238/x
  3. Step 3: Cross multiply
    121,306x = 259,238 × 259,238
  4. Step 4: Simplify right side
    121,306x = 67,204,340,644
  5. Step 5: Solve for x
    x = 67,204,340,644/121,306
  6. Step 6: Final answer
    x = 554,006.73

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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.