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Finding the Third Proportional to 93,993 and 204,550.50

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Solution

The third proportional to 93,993 and 204,550.50 is: 445,149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,993 : 204,550.50 = 204,550.50 : x
  2. Step 2: Convert to fraction form
    93,993/204,550.50 = 204,550.50/x
  3. Step 3: Cross multiply
    93,993x = 204,550.50 × 204,550.50
  4. Step 4: Simplify right side
    93,993x = 41,840,907,050.25
  5. Step 5: Solve for x
    x = 41,840,907,050.25/93,993
  6. Step 6: Final answer
    x = 445,149.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.