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Finding the Third Proportional to 11,967.75 and 15,747.75

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Solution

The third proportional to 11,967.75 and 15,747.75 is: 20,721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.75 : 15,747.75 = 15,747.75 : x
  2. Step 2: Convert to fraction form
    11,967.75/15,747.75 = 15,747.75/x
  3. Step 3: Cross multiply
    11,967.75x = 15,747.75 × 15,747.75
  4. Step 4: Simplify right side
    11,967.75x = 247,991,630.06
  5. Step 5: Solve for x
    x = 247,991,630.06/11,967.75
  6. Step 6: Final answer
    x = 20,721.66

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.