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Finding the Third Proportional to 8,686 and 18,847

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Solution

The third proportional to 8,686 and 18,847 is: 40,894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686 : 18,847 = 18,847 : x
  2. Step 2: Convert to fraction form
    8,686/18,847 = 18,847/x
  3. Step 3: Cross multiply
    8,686x = 18,847 × 18,847
  4. Step 4: Simplify right side
    8,686x = 355,209,409
  5. Step 5: Solve for x
    x = 355,209,409/8,686
  6. Step 6: Final answer
    x = 40,894.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.