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Finding the Third Proportional to 105,678 and 220,104

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Solution

The third proportional to 105,678 and 220,104 is: 458,428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,678 : 220,104 = 220,104 : x
  2. Step 2: Convert to fraction form
    105,678/220,104 = 220,104/x
  3. Step 3: Cross multiply
    105,678x = 220,104 × 220,104
  4. Step 4: Simplify right side
    105,678x = 48,445,770,816
  5. Step 5: Solve for x
    x = 48,445,770,816/105,678
  6. Step 6: Final answer
    x = 458,428.16

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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.