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Finding the Third Proportional to 3,122.30 and 7,651.97

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Solution

The third proportional to 3,122.30 and 7,651.97 is: 18,753.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.30 : 7,651.97 = 7,651.97 : x
  2. Step 2: Convert to fraction form
    3,122.30/7,651.97 = 7,651.97/x
  3. Step 3: Cross multiply
    3,122.30x = 7,651.97 × 7,651.97
  4. Step 4: Simplify right side
    3,122.30x = 58,552,625.75
  5. Step 5: Solve for x
    x = 58,552,625.75/3,122.30
  6. Step 6: Final answer
    x = 18,753.06

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.