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Finding the Third Proportional to 120,912.75 and 263,331

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Solution

The third proportional to 120,912.75 and 263,331 is: 573,497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,912.75 : 263,331 = 263,331 : x
  2. Step 2: Convert to fraction form
    120,912.75/263,331 = 263,331/x
  3. Step 3: Cross multiply
    120,912.75x = 263,331 × 263,331
  4. Step 4: Simplify right side
    120,912.75x = 69,343,215,561
  5. Step 5: Solve for x
    x = 69,343,215,561/120,912.75
  6. Step 6: Final answer
    x = 573,497.96

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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.