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Finding the Third Proportional to 120,960 and 259,968

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Solution

The third proportional to 120,960 and 259,968 is: 558,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,960 : 259,968 = 259,968 : x
  2. Step 2: Convert to fraction form
    120,960/259,968 = 259,968/x
  3. Step 3: Cross multiply
    120,960x = 259,968 × 259,968
  4. Step 4: Simplify right side
    120,960x = 67,583,361,024
  5. Step 5: Solve for x
    x = 67,583,361,024/120,960
  6. Step 6: Final answer
    x = 558,724.88

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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.