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Finding the Third Proportional to 18,220 and 38,380

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Solution

The third proportional to 18,220 and 38,380 is: 80,846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,220 : 38,380 = 38,380 : x
  2. Step 2: Convert to fraction form
    18,220/38,380 = 38,380/x
  3. Step 3: Cross multiply
    18,220x = 38,380 × 38,380
  4. Step 4: Simplify right side
    18,220x = 1,473,024,400
  5. Step 5: Solve for x
    x = 1,473,024,400/18,220
  6. Step 6: Final answer
    x = 80,846.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.