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Finding the Third Proportional to 4,686 and 8,021

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Solution

The third proportional to 4,686 and 8,021 is: 13,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686 : 8,021 = 8,021 : x
  2. Step 2: Convert to fraction form
    4,686/8,021 = 8,021/x
  3. Step 3: Cross multiply
    4,686x = 8,021 × 8,021
  4. Step 4: Simplify right side
    4,686x = 64,336,441
  5. Step 5: Solve for x
    x = 64,336,441/4,686
  6. Step 6: Final answer
    x = 13,729.50

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.