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Finding the Third Proportional to 120,858 and 259,205

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Solution

The third proportional to 120,858 and 259,205 is: 555,918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,858 : 259,205 = 259,205 : x
  2. Step 2: Convert to fraction form
    120,858/259,205 = 259,205/x
  3. Step 3: Cross multiply
    120,858x = 259,205 × 259,205
  4. Step 4: Simplify right side
    120,858x = 67,187,232,025
  5. Step 5: Solve for x
    x = 67,187,232,025/120,858
  6. Step 6: Final answer
    x = 555,918.78

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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.