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Finding the Third Proportional to 120,861 and 259,209

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Solution

The third proportional to 120,861 and 259,209 is: 555,922.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,861 : 259,209 = 259,209 : x
  2. Step 2: Convert to fraction form
    120,861/259,209 = 259,209/x
  3. Step 3: Cross multiply
    120,861x = 259,209 × 259,209
  4. Step 4: Simplify right side
    120,861x = 67,189,305,681
  5. Step 5: Solve for x
    x = 67,189,305,681/120,861
  6. Step 6: Final answer
    x = 555,922.14

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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.