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Finding the Third Proportional to 14,138 and 20,815

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Solution

The third proportional to 14,138 and 20,815 is: 30,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138 : 20,815 = 20,815 : x
  2. Step 2: Convert to fraction form
    14,138/20,815 = 20,815/x
  3. Step 3: Cross multiply
    14,138x = 20,815 × 20,815
  4. Step 4: Simplify right side
    14,138x = 433,264,225
  5. Step 5: Solve for x
    x = 433,264,225/14,138
  6. Step 6: Final answer
    x = 30,645.37

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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.