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Finding the Third Proportional to 5,178 and 12,186

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Solution

The third proportional to 5,178 and 12,186 is: 28,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178 : 12,186 = 12,186 : x
  2. Step 2: Convert to fraction form
    5,178/12,186 = 12,186/x
  3. Step 3: Cross multiply
    5,178x = 12,186 × 12,186
  4. Step 4: Simplify right side
    5,178x = 148,498,596
  5. Step 5: Solve for x
    x = 148,498,596/5,178
  6. Step 6: Final answer
    x = 28,678.76

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.