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Finding the Third Proportional to 93,850.50 and 204,225

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Solution

The third proportional to 93,850.50 and 204,225 is: 444,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,850.50 : 204,225 = 204,225 : x
  2. Step 2: Convert to fraction form
    93,850.50/204,225 = 204,225/x
  3. Step 3: Cross multiply
    93,850.50x = 204,225 × 204,225
  4. Step 4: Simplify right side
    93,850.50x = 41,707,850,625
  5. Step 5: Solve for x
    x = 41,707,850,625/93,850.50
  6. Step 6: Final answer
    x = 444,407.34

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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.