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Finding the Third Proportional to 105,678 and 220,083.75

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Solution

The third proportional to 105,678 and 220,083.75 is: 458,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,678 : 220,083.75 = 220,083.75 : x
  2. Step 2: Convert to fraction form
    105,678/220,083.75 = 220,083.75/x
  3. Step 3: Cross multiply
    105,678x = 220,083.75 × 220,083.75
  4. Step 4: Simplify right side
    105,678x = 48,436,857,014.06
  5. Step 5: Solve for x
    x = 48,436,857,014.06/105,678
  6. Step 6: Final answer
    x = 458,343.81

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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.