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Finding the Third Proportional to 12,982 and 20,583

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Solution

The third proportional to 12,982 and 20,583 is: 32,634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,982 : 20,583 = 20,583 : x
  2. Step 2: Convert to fraction form
    12,982/20,583 = 20,583/x
  3. Step 3: Cross multiply
    12,982x = 20,583 × 20,583
  4. Step 4: Simplify right side
    12,982x = 423,659,889
  5. Step 5: Solve for x
    x = 423,659,889/12,982
  6. Step 6: Final answer
    x = 32,634.41

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.