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Finding the Third Proportional to 20,800 and 34,176

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Solution

The third proportional to 20,800 and 34,176 is: 56,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800 : 34,176 = 34,176 : x
  2. Step 2: Convert to fraction form
    20,800/34,176 = 34,176/x
  3. Step 3: Cross multiply
    20,800x = 34,176 × 34,176
  4. Step 4: Simplify right side
    20,800x = 1,167,998,976
  5. Step 5: Solve for x
    x = 1,167,998,976/20,800
  6. Step 6: Final answer
    x = 56,153.80

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.