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Finding the Third Proportional to 18,322 and 20,281

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Solution

The third proportional to 18,322 and 20,281 is: 22,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,322 : 20,281 = 20,281 : x
  2. Step 2: Convert to fraction form
    18,322/20,281 = 20,281/x
  3. Step 3: Cross multiply
    18,322x = 20,281 × 20,281
  4. Step 4: Simplify right side
    18,322x = 411,318,961
  5. Step 5: Solve for x
    x = 411,318,961/18,322
  6. Step 6: Final answer
    x = 22,449.46

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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.