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Finding the Third Proportional to 5,441 and 8,178

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Solution

The third proportional to 5,441 and 8,178 is: 12,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441 : 8,178 = 8,178 : x
  2. Step 2: Convert to fraction form
    5,441/8,178 = 8,178/x
  3. Step 3: Cross multiply
    5,441x = 8,178 × 8,178
  4. Step 4: Simplify right side
    5,441x = 66,879,684
  5. Step 5: Solve for x
    x = 66,879,684/5,441
  6. Step 6: Final answer
    x = 12,291.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.