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Finding the Third Proportional to 7,728 and 12,000

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Solution

The third proportional to 7,728 and 12,000 is: 18,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728 : 12,000 = 12,000 : x
  2. Step 2: Convert to fraction form
    7,728/12,000 = 12,000/x
  3. Step 3: Cross multiply
    7,728x = 12,000 × 12,000
  4. Step 4: Simplify right side
    7,728x = 144,000,000
  5. Step 5: Solve for x
    x = 144,000,000/7,728
  6. Step 6: Final answer
    x = 18,633.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.