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Finding the Third Proportional to 14,137 and 20,814

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Solution

The third proportional to 14,137 and 20,814 is: 30,644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137 : 20,814 = 20,814 : x
  2. Step 2: Convert to fraction form
    14,137/20,814 = 20,814/x
  3. Step 3: Cross multiply
    14,137x = 20,814 × 20,814
  4. Step 4: Simplify right side
    14,137x = 433,222,596
  5. Step 5: Solve for x
    x = 433,222,596/14,137
  6. Step 6: Final answer
    x = 30,644.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.