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Finding the Third Proportional to 4,385 and 8,149

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Solution

The third proportional to 4,385 and 8,149 is: 15,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,385 : 8,149 = 8,149 : x
  2. Step 2: Convert to fraction form
    4,385/8,149 = 8,149/x
  3. Step 3: Cross multiply
    4,385x = 8,149 × 8,149
  4. Step 4: Simplify right side
    4,385x = 66,406,201
  5. Step 5: Solve for x
    x = 66,406,201/4,385
  6. Step 6: Final answer
    x = 15,143.95

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.