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Finding the Third Proportional to 81,912.75 and 131,323.50

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Solution

The third proportional to 81,912.75 and 131,323.50 is: 210,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,912.75 : 131,323.50 = 131,323.50 : x
  2. Step 2: Convert to fraction form
    81,912.75/131,323.50 = 131,323.50/x
  3. Step 3: Cross multiply
    81,912.75x = 131,323.50 × 131,323.50
  4. Step 4: Simplify right side
    81,912.75x = 17,245,861,652.25
  5. Step 5: Solve for x
    x = 17,245,861,652.25/81,912.75
  6. Step 6: Final answer
    x = 210,539.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.