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Finding the Third Proportional to 18,972 and 45,954

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Solution

The third proportional to 18,972 and 45,954 is: 111,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,972 : 45,954 = 45,954 : x
  2. Step 2: Convert to fraction form
    18,972/45,954 = 45,954/x
  3. Step 3: Cross multiply
    18,972x = 45,954 × 45,954
  4. Step 4: Simplify right side
    18,972x = 2,111,770,116
  5. Step 5: Solve for x
    x = 2,111,770,116/18,972
  6. Step 6: Final answer
    x = 111,309.83

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.