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Finding the Third Proportional to 3,322.13 and 7,127.44

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Solution

The third proportional to 3,322.13 and 7,127.44 is: 15,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.13 : 7,127.44 = 7,127.44 : x
  2. Step 2: Convert to fraction form
    3,322.13/7,127.44 = 7,127.44/x
  3. Step 3: Cross multiply
    3,322.13x = 7,127.44 × 7,127.44
  4. Step 4: Simplify right side
    3,322.13x = 50,800,365.32
  5. Step 5: Solve for x
    x = 50,800,365.32/3,322.13
  6. Step 6: Final answer
    x = 15,291.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.