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Finding the Third Proportional to 10,800 and 19,104

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Solution

The third proportional to 10,800 and 19,104 is: 33,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800 : 19,104 = 19,104 : x
  2. Step 2: Convert to fraction form
    10,800/19,104 = 19,104/x
  3. Step 3: Cross multiply
    10,800x = 19,104 × 19,104
  4. Step 4: Simplify right side
    10,800x = 364,962,816
  5. Step 5: Solve for x
    x = 364,962,816/10,800
  6. Step 6: Final answer
    x = 33,792.85

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.