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Finding the Third Proportional to 104,660 and 218,176

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Solution

The third proportional to 104,660 and 218,176 is: 454,813.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,660 : 218,176 = 218,176 : x
  2. Step 2: Convert to fraction form
    104,660/218,176 = 218,176/x
  3. Step 3: Cross multiply
    104,660x = 218,176 × 218,176
  4. Step 4: Simplify right side
    104,660x = 47,600,766,976
  5. Step 5: Solve for x
    x = 47,600,766,976/104,660
  6. Step 6: Final answer
    x = 454,813.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.