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Finding the Third Proportional to 120,380 and 259,259

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Solution

The third proportional to 120,380 and 259,259 is: 558,358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,380 : 259,259 = 259,259 : x
  2. Step 2: Convert to fraction form
    120,380/259,259 = 259,259/x
  3. Step 3: Cross multiply
    120,380x = 259,259 × 259,259
  4. Step 4: Simplify right side
    120,380x = 67,215,229,081
  5. Step 5: Solve for x
    x = 67,215,229,081/120,380
  6. Step 6: Final answer
    x = 558,358.77

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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.