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Finding the Third Proportional to 17,224 and 18,880

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Solution

The third proportional to 17,224 and 18,880 is: 20,695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,224 : 18,880 = 18,880 : x
  2. Step 2: Convert to fraction form
    17,224/18,880 = 18,880/x
  3. Step 3: Cross multiply
    17,224x = 18,880 × 18,880
  4. Step 4: Simplify right side
    17,224x = 356,454,400
  5. Step 5: Solve for x
    x = 356,454,400/17,224
  6. Step 6: Final answer
    x = 20,695.22

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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.