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Finding the Third Proportional to 17,284 and 18,796

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Solution

The third proportional to 17,284 and 18,796 is: 20,440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284 : 18,796 = 18,796 : x
  2. Step 2: Convert to fraction form
    17,284/18,796 = 18,796/x
  3. Step 3: Cross multiply
    17,284x = 18,796 × 18,796
  4. Step 4: Simplify right side
    17,284x = 353,289,616
  5. Step 5: Solve for x
    x = 353,289,616/17,284
  6. Step 6: Final answer
    x = 20,440.27

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.