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Finding the Third Proportional to 18,096 and 33,492

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Solution

The third proportional to 18,096 and 33,492 is: 61,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,096 : 33,492 = 33,492 : x
  2. Step 2: Convert to fraction form
    18,096/33,492 = 33,492/x
  3. Step 3: Cross multiply
    18,096x = 33,492 × 33,492
  4. Step 4: Simplify right side
    18,096x = 1,121,714,064
  5. Step 5: Solve for x
    x = 1,121,714,064/18,096
  6. Step 6: Final answer
    x = 61,986.85

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.