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Finding the Third Proportional to 14,109 and 20,727

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Solution

The third proportional to 14,109 and 20,727 is: 30,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109 : 20,727 = 20,727 : x
  2. Step 2: Convert to fraction form
    14,109/20,727 = 20,727/x
  3. Step 3: Cross multiply
    14,109x = 20,727 × 20,727
  4. Step 4: Simplify right side
    14,109x = 429,608,529
  5. Step 5: Solve for x
    x = 429,608,529/14,109
  6. Step 6: Final answer
    x = 30,449.25

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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.