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Finding the Third Proportional to 7,722 and 11,581.31

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Solution

The third proportional to 7,722 and 11,581.31 is: 17,369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722 : 11,581.31 = 11,581.31 : x
  2. Step 2: Convert to fraction form
    7,722/11,581.31 = 11,581.31/x
  3. Step 3: Cross multiply
    7,722x = 11,581.31 × 11,581.31
  4. Step 4: Simplify right side
    7,722x = 134,126,799.22
  5. Step 5: Solve for x
    x = 134,126,799.22/7,722
  6. Step 6: Final answer
    x = 17,369.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.