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Finding the Third Proportional to 13,450.50 and 20,297.25

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Solution

The third proportional to 13,450.50 and 20,297.25 is: 30,629.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450.50 : 20,297.25 = 20,297.25 : x
  2. Step 2: Convert to fraction form
    13,450.50/20,297.25 = 20,297.25/x
  3. Step 3: Cross multiply
    13,450.50x = 20,297.25 × 20,297.25
  4. Step 4: Simplify right side
    13,450.50x = 411,978,357.56
  5. Step 5: Solve for x
    x = 411,978,357.56/13,450.50
  6. Step 6: Final answer
    x = 30,629.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.