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Finding the Third Proportional to 12,944.81 and 18,991.97

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Solution

The third proportional to 12,944.81 and 18,991.97 is: 27,864.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,944.81 : 18,991.97 = 18,991.97 : x
  2. Step 2: Convert to fraction form
    12,944.81/18,991.97 = 18,991.97/x
  3. Step 3: Cross multiply
    12,944.81x = 18,991.97 × 18,991.97
  4. Step 4: Simplify right side
    12,944.81x = 360,694,877.00
  5. Step 5: Solve for x
    x = 360,694,877.00/12,944.81
  6. Step 6: Final answer
    x = 27,864.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.