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Finding the Third Proportional to 18,977 and 41,645

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Solution

The third proportional to 18,977 and 41,645 is: 91,389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,977 : 41,645 = 41,645 : x
  2. Step 2: Convert to fraction form
    18,977/41,645 = 41,645/x
  3. Step 3: Cross multiply
    18,977x = 41,645 × 41,645
  4. Step 4: Simplify right side
    18,977x = 1,734,306,025
  5. Step 5: Solve for x
    x = 1,734,306,025/18,977
  6. Step 6: Final answer
    x = 91,389.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.