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Finding the Third Proportional to 17,328 and 39,888

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Solution

The third proportional to 17,328 and 39,888 is: 91,819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,328 : 39,888 = 39,888 : x
  2. Step 2: Convert to fraction form
    17,328/39,888 = 39,888/x
  3. Step 3: Cross multiply
    17,328x = 39,888 × 39,888
  4. Step 4: Simplify right side
    17,328x = 1,591,052,544
  5. Step 5: Solve for x
    x = 1,591,052,544/17,328
  6. Step 6: Final answer
    x = 91,819.75

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.