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Finding the Third Proportional to 11,229.25 and 18,713.88

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Solution

The third proportional to 11,229.25 and 18,713.88 is: 31,187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.25 : 18,713.88 = 18,713.88 : x
  2. Step 2: Convert to fraction form
    11,229.25/18,713.88 = 18,713.88/x
  3. Step 3: Cross multiply
    11,229.25x = 18,713.88 × 18,713.88
  4. Step 4: Simplify right side
    11,229.25x = 350,209,117.52
  5. Step 5: Solve for x
    x = 350,209,117.52/11,229.25
  6. Step 6: Final answer
    x = 31,187.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.