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Finding the Third Proportional to 13,135.50 and 15,049.13

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Solution

The third proportional to 13,135.50 and 15,049.13 is: 17,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.50 : 15,049.13 = 15,049.13 : x
  2. Step 2: Convert to fraction form
    13,135.50/15,049.13 = 15,049.13/x
  3. Step 3: Cross multiply
    13,135.50x = 15,049.13 × 15,049.13
  4. Step 4: Simplify right side
    13,135.50x = 226,476,163.27
  5. Step 5: Solve for x
    x = 226,476,163.27/13,135.50
  6. Step 6: Final answer
    x = 17,241.53

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.