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Finding the Third Proportional to 13,820 and 16,829

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Solution

The third proportional to 13,820 and 16,829 is: 20,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820 : 16,829 = 16,829 : x
  2. Step 2: Convert to fraction form
    13,820/16,829 = 16,829/x
  3. Step 3: Cross multiply
    13,820x = 16,829 × 16,829
  4. Step 4: Simplify right side
    13,820x = 283,215,241
  5. Step 5: Solve for x
    x = 283,215,241/13,820
  6. Step 6: Final answer
    x = 20,493.14

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.