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Finding the Third Proportional to 13,982 and 20,986

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Solution

The third proportional to 13,982 and 20,986 is: 31,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982 : 20,986 = 20,986 : x
  2. Step 2: Convert to fraction form
    13,982/20,986 = 20,986/x
  3. Step 3: Cross multiply
    13,982x = 20,986 × 20,986
  4. Step 4: Simplify right side
    13,982x = 440,412,196
  5. Step 5: Solve for x
    x = 440,412,196/13,982
  6. Step 6: Final answer
    x = 31,498.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.