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Finding the Third Proportional to 18,454 and 28,223

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Solution

The third proportional to 18,454 and 28,223 is: 43,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,454 : 28,223 = 28,223 : x
  2. Step 2: Convert to fraction form
    18,454/28,223 = 28,223/x
  3. Step 3: Cross multiply
    18,454x = 28,223 × 28,223
  4. Step 4: Simplify right side
    18,454x = 796,537,729
  5. Step 5: Solve for x
    x = 796,537,729/18,454
  6. Step 6: Final answer
    x = 43,163.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.