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Finding the Third Proportional to 8,208 and 19,200

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Solution

The third proportional to 8,208 and 19,200 is: 44,912.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208 : 19,200 = 19,200 : x
  2. Step 2: Convert to fraction form
    8,208/19,200 = 19,200/x
  3. Step 3: Cross multiply
    8,208x = 19,200 × 19,200
  4. Step 4: Simplify right side
    8,208x = 368,640,000
  5. Step 5: Solve for x
    x = 368,640,000/8,208
  6. Step 6: Final answer
    x = 44,912.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.