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Finding the Third Proportional to 7,129.11 and 13,886.60

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Solution

The third proportional to 7,129.11 and 13,886.60 is: 27,049.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.11 : 13,886.60 = 13,886.60 : x
  2. Step 2: Convert to fraction form
    7,129.11/13,886.60 = 13,886.60/x
  3. Step 3: Cross multiply
    7,129.11x = 13,886.60 × 13,886.60
  4. Step 4: Simplify right side
    7,129.11x = 192,837,540.22
  5. Step 5: Solve for x
    x = 192,837,540.22/7,129.11
  6. Step 6: Final answer
    x = 27,049.32

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.