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Finding the Third Proportional to 11,661.47 and 18,009.84

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Solution

The third proportional to 11,661.47 and 18,009.84 is: 27,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.47 : 18,009.84 = 18,009.84 : x
  2. Step 2: Convert to fraction form
    11,661.47/18,009.84 = 18,009.84/x
  3. Step 3: Cross multiply
    11,661.47x = 18,009.84 × 18,009.84
  4. Step 4: Simplify right side
    11,661.47x = 324,354,471.90
  5. Step 5: Solve for x
    x = 324,354,471.90/11,661.47
  6. Step 6: Final answer
    x = 27,814.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.