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Finding the Third Proportional to 7,704 and 11,009

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Solution

The third proportional to 7,704 and 11,009 is: 15,731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704 : 11,009 = 11,009 : x
  2. Step 2: Convert to fraction form
    7,704/11,009 = 11,009/x
  3. Step 3: Cross multiply
    7,704x = 11,009 × 11,009
  4. Step 4: Simplify right side
    7,704x = 121,198,081
  5. Step 5: Solve for x
    x = 121,198,081/7,704
  6. Step 6: Final answer
    x = 15,731.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.