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Finding the Third Proportional to 15,884 and 18,296

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Solution

The third proportional to 15,884 and 18,296 is: 21,074.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884 : 18,296 = 18,296 : x
  2. Step 2: Convert to fraction form
    15,884/18,296 = 18,296/x
  3. Step 3: Cross multiply
    15,884x = 18,296 × 18,296
  4. Step 4: Simplify right side
    15,884x = 334,743,616
  5. Step 5: Solve for x
    x = 334,743,616/15,884
  6. Step 6: Final answer
    x = 21,074.26

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.