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Finding the Third Proportional to 105,619 and 219,977

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Solution

The third proportional to 105,619 and 219,977 is: 458,155.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,619 : 219,977 = 219,977 : x
  2. Step 2: Convert to fraction form
    105,619/219,977 = 219,977/x
  3. Step 3: Cross multiply
    105,619x = 219,977 × 219,977
  4. Step 4: Simplify right side
    105,619x = 48,389,880,529
  5. Step 5: Solve for x
    x = 48,389,880,529/105,619
  6. Step 6: Final answer
    x = 458,155.07

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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.