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Finding the Third Proportional to 93,844 and 204,212

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Solution

The third proportional to 93,844 and 204,212 is: 444,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,844 : 204,212 = 204,212 : x
  2. Step 2: Convert to fraction form
    93,844/204,212 = 204,212/x
  3. Step 3: Cross multiply
    93,844x = 204,212 × 204,212
  4. Step 4: Simplify right side
    93,844x = 41,702,540,944
  5. Step 5: Solve for x
    x = 41,702,540,944/93,844
  6. Step 6: Final answer
    x = 444,381.54

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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.