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Finding the Third Proportional to 120,387 and 259,274

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Solution

The third proportional to 120,387 and 259,274 is: 558,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,387 : 259,274 = 259,274 : x
  2. Step 2: Convert to fraction form
    120,387/259,274 = 259,274/x
  3. Step 3: Cross multiply
    120,387x = 259,274 × 259,274
  4. Step 4: Simplify right side
    120,387x = 67,223,007,076
  5. Step 5: Solve for x
    x = 67,223,007,076/120,387
  6. Step 6: Final answer
    x = 558,390.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.