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Finding the Third Proportional to 7,743 and 11,205

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Solution

The third proportional to 7,743 and 11,205 is: 16,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743 : 11,205 = 11,205 : x
  2. Step 2: Convert to fraction form
    7,743/11,205 = 11,205/x
  3. Step 3: Cross multiply
    7,743x = 11,205 × 11,205
  4. Step 4: Simplify right side
    7,743x = 125,552,025
  5. Step 5: Solve for x
    x = 125,552,025/7,743
  6. Step 6: Final answer
    x = 16,214.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.