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Finding the Third Proportional to 3,321.42 and 7,189.17

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Solution

The third proportional to 3,321.42 and 7,189.17 is: 15,560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.42 : 7,189.17 = 7,189.17 : x
  2. Step 2: Convert to fraction form
    3,321.42/7,189.17 = 7,189.17/x
  3. Step 3: Cross multiply
    3,321.42x = 7,189.17 × 7,189.17
  4. Step 4: Simplify right side
    3,321.42x = 51,684,192.25
  5. Step 5: Solve for x
    x = 51,684,192.25/3,321.42
  6. Step 6: Final answer
    x = 15,560.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.