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Finding the Third Proportional to 13,684 and 18,878

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Solution

The third proportional to 13,684 and 18,878 is: 26,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684 : 18,878 = 18,878 : x
  2. Step 2: Convert to fraction form
    13,684/18,878 = 18,878/x
  3. Step 3: Cross multiply
    13,684x = 18,878 × 18,878
  4. Step 4: Simplify right side
    13,684x = 356,378,884
  5. Step 5: Solve for x
    x = 356,378,884/13,684
  6. Step 6: Final answer
    x = 26,043.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.