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Finding the Third Proportional to 6,389.72 and 13,296.66

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Solution

The third proportional to 6,389.72 and 13,296.66 is: 27,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.72 : 13,296.66 = 13,296.66 : x
  2. Step 2: Convert to fraction form
    6,389.72/13,296.66 = 13,296.66/x
  3. Step 3: Cross multiply
    6,389.72x = 13,296.66 × 13,296.66
  4. Step 4: Simplify right side
    6,389.72x = 176,801,067.43
  5. Step 5: Solve for x
    x = 176,801,067.43/6,389.72
  6. Step 6: Final answer
    x = 27,669.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.