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Finding the Third Proportional to 88,048 and 192,800

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Solution

The third proportional to 88,048 and 192,800 is: 422,176.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,048 : 192,800 = 192,800 : x
  2. Step 2: Convert to fraction form
    88,048/192,800 = 192,800/x
  3. Step 3: Cross multiply
    88,048x = 192,800 × 192,800
  4. Step 4: Simplify right side
    88,048x = 37,171,840,000
  5. Step 5: Solve for x
    x = 37,171,840,000/88,048
  6. Step 6: Final answer
    x = 422,176.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.