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Finding the Third Proportional to 13,008.09 and 18,418.64

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Solution

The third proportional to 13,008.09 and 18,418.64 is: 26,079.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.09 : 18,418.64 = 18,418.64 : x
  2. Step 2: Convert to fraction form
    13,008.09/18,418.64 = 18,418.64/x
  3. Step 3: Cross multiply
    13,008.09x = 18,418.64 × 18,418.64
  4. Step 4: Simplify right side
    13,008.09x = 339,246,322.47
  5. Step 5: Solve for x
    x = 339,246,322.47/13,008.09
  6. Step 6: Final answer
    x = 26,079.63

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.