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Finding the Third Proportional to 105,954 and 220,620

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Solution

The third proportional to 105,954 and 220,620 is: 459,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,954 : 220,620 = 220,620 : x
  2. Step 2: Convert to fraction form
    105,954/220,620 = 220,620/x
  3. Step 3: Cross multiply
    105,954x = 220,620 × 220,620
  4. Step 4: Simplify right side
    105,954x = 48,673,184,400
  5. Step 5: Solve for x
    x = 48,673,184,400/105,954
  6. Step 6: Final answer
    x = 459,380.34

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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.