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Finding the Third Proportional to 13,970 and 16,898

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Solution

The third proportional to 13,970 and 16,898 is: 20,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970 : 16,898 = 16,898 : x
  2. Step 2: Convert to fraction form
    13,970/16,898 = 16,898/x
  3. Step 3: Cross multiply
    13,970x = 16,898 × 16,898
  4. Step 4: Simplify right side
    13,970x = 285,542,404
  5. Step 5: Solve for x
    x = 285,542,404/13,970
  6. Step 6: Final answer
    x = 20,439.69

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.