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Finding the Third Proportional to 120,844 and 259,190

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Solution

The third proportional to 120,844 and 259,190 is: 555,918.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,844 : 259,190 = 259,190 : x
  2. Step 2: Convert to fraction form
    120,844/259,190 = 259,190/x
  3. Step 3: Cross multiply
    120,844x = 259,190 × 259,190
  4. Step 4: Simplify right side
    120,844x = 67,179,456,100
  5. Step 5: Solve for x
    x = 67,179,456,100/120,844
  6. Step 6: Final answer
    x = 555,918.84

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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.