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Finding the Third Proportional to 6,866 and 15,869

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Solution

The third proportional to 6,866 and 15,869 is: 36,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866 : 15,869 = 15,869 : x
  2. Step 2: Convert to fraction form
    6,866/15,869 = 15,869/x
  3. Step 3: Cross multiply
    6,866x = 15,869 × 15,869
  4. Step 4: Simplify right side
    6,866x = 251,825,161
  5. Step 5: Solve for x
    x = 251,825,161/6,866
  6. Step 6: Final answer
    x = 36,677.13

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.