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Finding the Third Proportional to 18,262 and 20,182

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Solution

The third proportional to 18,262 and 20,182 is: 22,303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,262 : 20,182 = 20,182 : x
  2. Step 2: Convert to fraction form
    18,262/20,182 = 20,182/x
  3. Step 3: Cross multiply
    18,262x = 20,182 × 20,182
  4. Step 4: Simplify right side
    18,262x = 407,313,124
  5. Step 5: Solve for x
    x = 407,313,124/18,262
  6. Step 6: Final answer
    x = 22,303.86

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.