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Finding the Third Proportional to 18,878 and 20,768

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Solution

The third proportional to 18,878 and 20,768 is: 22,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,878 : 20,768 = 20,768 : x
  2. Step 2: Convert to fraction form
    18,878/20,768 = 20,768/x
  3. Step 3: Cross multiply
    18,878x = 20,768 × 20,768
  4. Step 4: Simplify right side
    18,878x = 431,309,824
  5. Step 5: Solve for x
    x = 431,309,824/18,878
  6. Step 6: Final answer
    x = 22,847.22

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.