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Finding the Third Proportional to 11,186.44 and 15,138.28

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Solution

The third proportional to 11,186.44 and 15,138.28 is: 20,486.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.44 : 15,138.28 = 15,138.28 : x
  2. Step 2: Convert to fraction form
    11,186.44/15,138.28 = 15,138.28/x
  3. Step 3: Cross multiply
    11,186.44x = 15,138.28 × 15,138.28
  4. Step 4: Simplify right side
    11,186.44x = 229,167,559.20
  5. Step 5: Solve for x
    x = 229,167,559.20/11,186.44
  6. Step 6: Final answer
    x = 20,486.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.