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Finding the Third Proportional to 17,886 and 39,296

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Solution

The third proportional to 17,886 and 39,296 is: 86,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,886 : 39,296 = 39,296 : x
  2. Step 2: Convert to fraction form
    17,886/39,296 = 39,296/x
  3. Step 3: Cross multiply
    17,886x = 39,296 × 39,296
  4. Step 4: Simplify right side
    17,886x = 1,544,175,616
  5. Step 5: Solve for x
    x = 1,544,175,616/17,886
  6. Step 6: Final answer
    x = 86,334.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.