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Finding the Third Proportional to 18,517.36 and 40,816.41

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Solution

The third proportional to 18,517.36 and 40,816.41 is: 89,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,517.36 : 40,816.41 = 40,816.41 : x
  2. Step 2: Convert to fraction form
    18,517.36/40,816.41 = 40,816.41/x
  3. Step 3: Cross multiply
    18,517.36x = 40,816.41 × 40,816.41
  4. Step 4: Simplify right side
    18,517.36x = 1,665,979,019.17
  5. Step 5: Solve for x
    x = 1,665,979,019.17/18,517.36
  6. Step 6: Final answer
    x = 89,968.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.