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Finding the Third Proportional to 18,420 and 40,100

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Solution

The third proportional to 18,420 and 40,100 is: 87,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,420 : 40,100 = 40,100 : x
  2. Step 2: Convert to fraction form
    18,420/40,100 = 40,100/x
  3. Step 3: Cross multiply
    18,420x = 40,100 × 40,100
  4. Step 4: Simplify right side
    18,420x = 1,608,010,000
  5. Step 5: Solve for x
    x = 1,608,010,000/18,420
  6. Step 6: Final answer
    x = 87,296.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.