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Finding the Third Proportional to 31,212.70 and 68,787.56

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Solution

The third proportional to 31,212.70 and 68,787.56 is: 151,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,212.70 : 68,787.56 = 68,787.56 : x
  2. Step 2: Convert to fraction form
    31,212.70/68,787.56 = 68,787.56/x
  3. Step 3: Cross multiply
    31,212.70x = 68,787.56 × 68,787.56
  4. Step 4: Simplify right side
    31,212.70x = 4,731,728,754.69
  5. Step 5: Solve for x
    x = 4,731,728,754.69/31,212.70
  6. Step 6: Final answer
    x = 151,596.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.