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Finding the Third Proportional to 93.63 and 203.50

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Solution

The third proportional to 93.63 and 203.50 is: 442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.63 : 203.50 = 203.50 : x
  2. Step 2: Convert to fraction form
    93.63/203.50 = 203.50/x
  3. Step 3: Cross multiply
    93.63x = 203.50 × 203.50
  4. Step 4: Simplify right side
    93.63x = 41,412.25
  5. Step 5: Solve for x
    x = 41,412.25/93.63
  6. Step 6: Final answer
    x = 442.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.