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Finding the Third Proportional to 13,820 and 15,836

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Solution

The third proportional to 13,820 and 15,836 is: 18,146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820 : 15,836 = 15,836 : x
  2. Step 2: Convert to fraction form
    13,820/15,836 = 15,836/x
  3. Step 3: Cross multiply
    13,820x = 15,836 × 15,836
  4. Step 4: Simplify right side
    13,820x = 250,778,896
  5. Step 5: Solve for x
    x = 250,778,896/13,820
  6. Step 6: Final answer
    x = 18,146.09

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.