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Finding the Third Proportional to 93.56 and 204.94

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Solution

The third proportional to 93.56 and 204.94 is: 448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.56 : 204.94 = 204.94 : x
  2. Step 2: Convert to fraction form
    93.56/204.94 = 204.94/x
  3. Step 3: Cross multiply
    93.56x = 204.94 × 204.94
  4. Step 4: Simplify right side
    93.56x = 41,999.38
  5. Step 5: Solve for x
    x = 41,999.38/93.56
  6. Step 6: Final answer
    x = 448.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.