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Finding the Third Proportional to 93,469.50 and 203,856

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Solution

The third proportional to 93,469.50 and 203,856 is: 444,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,469.50 : 203,856 = 203,856 : x
  2. Step 2: Convert to fraction form
    93,469.50/203,856 = 203,856/x
  3. Step 3: Cross multiply
    93,469.50x = 203,856 × 203,856
  4. Step 4: Simplify right side
    93,469.50x = 41,557,268,736
  5. Step 5: Solve for x
    x = 41,557,268,736/93,469.50
  6. Step 6: Final answer
    x = 444,607.80

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