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Finding the Third Proportional to 8,212 and 11,004

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Solution

The third proportional to 8,212 and 11,004 is: 14,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212 : 11,004 = 11,004 : x
  2. Step 2: Convert to fraction form
    8,212/11,004 = 11,004/x
  3. Step 3: Cross multiply
    8,212x = 11,004 × 11,004
  4. Step 4: Simplify right side
    8,212x = 121,088,016
  5. Step 5: Solve for x
    x = 121,088,016/8,212
  6. Step 6: Final answer
    x = 14,745.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.