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Finding the Third Proportional to 3,000.09 and 6,444.42

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Solution

The third proportional to 3,000.09 and 6,444.42 is: 13,843.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.09 : 6,444.42 = 6,444.42 : x
  2. Step 2: Convert to fraction form
    3,000.09/6,444.42 = 6,444.42/x
  3. Step 3: Cross multiply
    3,000.09x = 6,444.42 × 6,444.42
  4. Step 4: Simplify right side
    3,000.09x = 41,530,573.30
  5. Step 5: Solve for x
    x = 41,530,573.30/3,000.09
  6. Step 6: Final answer
    x = 13,843.09

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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.