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Finding the Third Proportional to 120,051 and 261,240.75

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Solution

The third proportional to 120,051 and 261,240.75 is: 568,481.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,051 : 261,240.75 = 261,240.75 : x
  2. Step 2: Convert to fraction form
    120,051/261,240.75 = 261,240.75/x
  3. Step 3: Cross multiply
    120,051x = 261,240.75 × 261,240.75
  4. Step 4: Simplify right side
    120,051x = 68,246,729,460.56
  5. Step 5: Solve for x
    x = 68,246,729,460.56/120,051
  6. Step 6: Final answer
    x = 568,481.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.