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Finding the Third Proportional to 120,780 and 259,092

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Solution

The third proportional to 120,780 and 259,092 is: 555,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,780 : 259,092 = 259,092 : x
  2. Step 2: Convert to fraction form
    120,780/259,092 = 259,092/x
  3. Step 3: Cross multiply
    120,780x = 259,092 × 259,092
  4. Step 4: Simplify right side
    120,780x = 67,128,664,464
  5. Step 5: Solve for x
    x = 67,128,664,464/120,780
  6. Step 6: Final answer
    x = 555,792.88

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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.