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Finding the Third Proportional to 11,975.75 and 18,129.25

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Solution

The third proportional to 11,975.75 and 18,129.25 is: 27,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.75 : 18,129.25 = 18,129.25 : x
  2. Step 2: Convert to fraction form
    11,975.75/18,129.25 = 18,129.25/x
  3. Step 3: Cross multiply
    11,975.75x = 18,129.25 × 18,129.25
  4. Step 4: Simplify right side
    11,975.75x = 328,669,705.56
  5. Step 5: Solve for x
    x = 328,669,705.56/11,975.75
  6. Step 6: Final answer
    x = 27,444.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.