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Finding the Third Proportional to 20,800 and 28,236

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Solution

The third proportional to 20,800 and 28,236 is: 38,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800 : 28,236 = 28,236 : x
  2. Step 2: Convert to fraction form
    20,800/28,236 = 28,236/x
  3. Step 3: Cross multiply
    20,800x = 28,236 × 28,236
  4. Step 4: Simplify right side
    20,800x = 797,271,696
  5. Step 5: Solve for x
    x = 797,271,696/20,800
  6. Step 6: Final answer
    x = 38,330.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.