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Finding the Third Proportional to 28,100 and 33,236

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Solution

The third proportional to 28,100 and 33,236 is: 39,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,100 : 33,236 = 33,236 : x
  2. Step 2: Convert to fraction form
    28,100/33,236 = 33,236/x
  3. Step 3: Cross multiply
    28,100x = 33,236 × 33,236
  4. Step 4: Simplify right side
    28,100x = 1,104,631,696
  5. Step 5: Solve for x
    x = 1,104,631,696/28,100
  6. Step 6: Final answer
    x = 39,310.74

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.