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Finding the Third Proportional to 93.73 and 199.90

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Solution

The third proportional to 93.73 and 199.90 is: 426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.73 : 199.90 = 199.90 : x
  2. Step 2: Convert to fraction form
    93.73/199.90 = 199.90/x
  3. Step 3: Cross multiply
    93.73x = 199.90 × 199.90
  4. Step 4: Simplify right side
    93.73x = 39,959.39
  5. Step 5: Solve for x
    x = 39,959.39/93.73
  6. Step 6: Final answer
    x = 426.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.