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Finding the Third Proportional to 18,820 and 40,142

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Solution

The third proportional to 18,820 and 40,142 is: 85,620.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,820 : 40,142 = 40,142 : x
  2. Step 2: Convert to fraction form
    18,820/40,142 = 40,142/x
  3. Step 3: Cross multiply
    18,820x = 40,142 × 40,142
  4. Step 4: Simplify right side
    18,820x = 1,611,380,164
  5. Step 5: Solve for x
    x = 1,611,380,164/18,820
  6. Step 6: Final answer
    x = 85,620.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.