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Finding the Third Proportional to 51,783 and 106,869

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Solution

The third proportional to 51,783 and 106,869 is: 220,554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,783 : 106,869 = 106,869 : x
  2. Step 2: Convert to fraction form
    51,783/106,869 = 106,869/x
  3. Step 3: Cross multiply
    51,783x = 106,869 × 106,869
  4. Step 4: Simplify right side
    51,783x = 11,420,983,161
  5. Step 5: Solve for x
    x = 11,420,983,161/51,783
  6. Step 6: Final answer
    x = 220,554.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.