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Finding the Third Proportional to 6,838 and 15,891

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Solution

The third proportional to 6,838 and 15,891 is: 36,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838 : 15,891 = 15,891 : x
  2. Step 2: Convert to fraction form
    6,838/15,891 = 15,891/x
  3. Step 3: Cross multiply
    6,838x = 15,891 × 15,891
  4. Step 4: Simplify right side
    6,838x = 252,523,881
  5. Step 5: Solve for x
    x = 252,523,881/6,838
  6. Step 6: Final answer
    x = 36,929.49

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.