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Finding the Third Proportional to 7,720.31 and 11,093.63

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Solution

The third proportional to 7,720.31 and 11,093.63 is: 15,940.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.31 : 11,093.63 = 11,093.63 : x
  2. Step 2: Convert to fraction form
    7,720.31/11,093.63 = 11,093.63/x
  3. Step 3: Cross multiply
    7,720.31x = 11,093.63 × 11,093.63
  4. Step 4: Simplify right side
    7,720.31x = 123,068,515.64
  5. Step 5: Solve for x
    x = 123,068,515.64/7,720.31
  6. Step 6: Final answer
    x = 15,940.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.