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Finding the Third Proportional to 18,082 and 43,546

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Solution

The third proportional to 18,082 and 43,546 is: 104,869.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,082 : 43,546 = 43,546 : x
  2. Step 2: Convert to fraction form
    18,082/43,546 = 43,546/x
  3. Step 3: Cross multiply
    18,082x = 43,546 × 43,546
  4. Step 4: Simplify right side
    18,082x = 1,896,254,116
  5. Step 5: Solve for x
    x = 1,896,254,116/18,082
  6. Step 6: Final answer
    x = 104,869.71

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.