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Finding the Third Proportional to 5,178 and 7,794

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Solution

The third proportional to 5,178 and 7,794 is: 11,731.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178 : 7,794 = 7,794 : x
  2. Step 2: Convert to fraction form
    5,178/7,794 = 7,794/x
  3. Step 3: Cross multiply
    5,178x = 7,794 × 7,794
  4. Step 4: Simplify right side
    5,178x = 60,746,436
  5. Step 5: Solve for x
    x = 60,746,436/5,178
  6. Step 6: Final answer
    x = 11,731.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.