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Finding the Third Proportional to 120,858 and 259,215

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Solution

The third proportional to 120,858 and 259,215 is: 555,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,858 : 259,215 = 259,215 : x
  2. Step 2: Convert to fraction form
    120,858/259,215 = 259,215/x
  3. Step 3: Cross multiply
    120,858x = 259,215 × 259,215
  4. Step 4: Simplify right side
    120,858x = 67,192,416,225
  5. Step 5: Solve for x
    x = 67,192,416,225/120,858
  6. Step 6: Final answer
    x = 555,961.68

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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.