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Finding the Third Proportional to 11,163.75 and 15,378.38

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Solution

The third proportional to 11,163.75 and 15,378.38 is: 21,184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.75 : 15,378.38 = 15,378.38 : x
  2. Step 2: Convert to fraction form
    11,163.75/15,378.38 = 15,378.38/x
  3. Step 3: Cross multiply
    11,163.75x = 15,378.38 × 15,378.38
  4. Step 4: Simplify right side
    11,163.75x = 236,494,417.64
  5. Step 5: Solve for x
    x = 236,494,417.64/11,163.75
  6. Step 6: Final answer
    x = 21,184.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.