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Finding the Third Proportional to 18,270 and 37,836

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Solution

The third proportional to 18,270 and 37,836 is: 78,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,270 : 37,836 = 37,836 : x
  2. Step 2: Convert to fraction form
    18,270/37,836 = 37,836/x
  3. Step 3: Cross multiply
    18,270x = 37,836 × 37,836
  4. Step 4: Simplify right side
    18,270x = 1,431,562,896
  5. Step 5: Solve for x
    x = 1,431,562,896/18,270
  6. Step 6: Final answer
    x = 78,355.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.