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Finding the Third Proportional to 13,717 and 20,768

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Solution

The third proportional to 13,717 and 20,768 is: 31,443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717 : 20,768 = 20,768 : x
  2. Step 2: Convert to fraction form
    13,717/20,768 = 20,768/x
  3. Step 3: Cross multiply
    13,717x = 20,768 × 20,768
  4. Step 4: Simplify right side
    13,717x = 431,309,824
  5. Step 5: Solve for x
    x = 431,309,824/13,717
  6. Step 6: Final answer
    x = 31,443.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.