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Finding the Third Proportional to 18,522 and 20,250

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Solution

The third proportional to 18,522 and 20,250 is: 22,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,522 : 20,250 = 20,250 : x
  2. Step 2: Convert to fraction form
    18,522/20,250 = 20,250/x
  3. Step 3: Cross multiply
    18,522x = 20,250 × 20,250
  4. Step 4: Simplify right side
    18,522x = 410,062,500
  5. Step 5: Solve for x
    x = 410,062,500/18,522
  6. Step 6: Final answer
    x = 22,139.21

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.