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Finding the Third Proportional to 3,205 and 5,142

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Solution

The third proportional to 3,205 and 5,142 is: 8,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205 : 5,142 = 5,142 : x
  2. Step 2: Convert to fraction form
    3,205/5,142 = 5,142/x
  3. Step 3: Cross multiply
    3,205x = 5,142 × 5,142
  4. Step 4: Simplify right side
    3,205x = 26,440,164
  5. Step 5: Solve for x
    x = 26,440,164/3,205
  6. Step 6: Final answer
    x = 8,249.66

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.