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Finding the Third Proportional to 3,999 and 9,342.19

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Solution

The third proportional to 3,999 and 9,342.19 is: 21,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999 : 9,342.19 = 9,342.19 : x
  2. Step 2: Convert to fraction form
    3,999/9,342.19 = 9,342.19/x
  3. Step 3: Cross multiply
    3,999x = 9,342.19 × 9,342.19
  4. Step 4: Simplify right side
    3,999x = 87,276,467.29
  5. Step 5: Solve for x
    x = 87,276,467.29/3,999
  6. Step 6: Final answer
    x = 21,824.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.