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Finding the Third Proportional to 32,940.50 and 72,441.25

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Solution

The third proportional to 32,940.50 and 72,441.25 is: 159,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,940.50 : 72,441.25 = 72,441.25 : x
  2. Step 2: Convert to fraction form
    32,940.50/72,441.25 = 72,441.25/x
  3. Step 3: Cross multiply
    32,940.50x = 72,441.25 × 72,441.25
  4. Step 4: Simplify right side
    32,940.50x = 5,247,734,701.56
  5. Step 5: Solve for x
    x = 5,247,734,701.56/32,940.50
  6. Step 6: Final answer
    x = 159,309.50

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