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Finding the Third Proportional to 6,507.84 and 11,891.81

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Solution

The third proportional to 6,507.84 and 11,891.81 is: 21,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.84 : 11,891.81 = 11,891.81 : x
  2. Step 2: Convert to fraction form
    6,507.84/11,891.81 = 11,891.81/x
  3. Step 3: Cross multiply
    6,507.84x = 11,891.81 × 11,891.81
  4. Step 4: Simplify right side
    6,507.84x = 141,415,204.54
  5. Step 5: Solve for x
    x = 141,415,204.54/6,507.84
  6. Step 6: Final answer
    x = 21,729.96

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.