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Finding the Third Proportional to 13,870 and 20,982

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Solution

The third proportional to 13,870 and 20,982 is: 31,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870 : 20,982 = 20,982 : x
  2. Step 2: Convert to fraction form
    13,870/20,982 = 20,982/x
  3. Step 3: Cross multiply
    13,870x = 20,982 × 20,982
  4. Step 4: Simplify right side
    13,870x = 440,244,324
  5. Step 5: Solve for x
    x = 440,244,324/13,870
  6. Step 6: Final answer
    x = 31,740.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.