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Finding the Third Proportional to 5,178 and 8,154

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Solution

The third proportional to 5,178 and 8,154 is: 12,840.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178 : 8,154 = 8,154 : x
  2. Step 2: Convert to fraction form
    5,178/8,154 = 8,154/x
  3. Step 3: Cross multiply
    5,178x = 8,154 × 8,154
  4. Step 4: Simplify right side
    5,178x = 66,487,716
  5. Step 5: Solve for x
    x = 66,487,716/5,178
  6. Step 6: Final answer
    x = 12,840.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.