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Finding the Third Proportional to 6,481.36 and 13,851.19

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Solution

The third proportional to 6,481.36 and 13,851.19 is: 29,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.36 : 13,851.19 = 13,851.19 : x
  2. Step 2: Convert to fraction form
    6,481.36/13,851.19 = 13,851.19/x
  3. Step 3: Cross multiply
    6,481.36x = 13,851.19 × 13,851.19
  4. Step 4: Simplify right side
    6,481.36x = 191,855,395.16
  5. Step 5: Solve for x
    x = 191,855,395.16/6,481.36
  6. Step 6: Final answer
    x = 29,601.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.