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Finding the Third Proportional to 9,489 and 13,667

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Solution

The third proportional to 9,489 and 13,667 is: 19,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489 : 13,667 = 13,667 : x
  2. Step 2: Convert to fraction form
    9,489/13,667 = 13,667/x
  3. Step 3: Cross multiply
    9,489x = 13,667 × 13,667
  4. Step 4: Simplify right side
    9,489x = 186,786,889
  5. Step 5: Solve for x
    x = 186,786,889/9,489
  6. Step 6: Final answer
    x = 19,684.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.