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Finding the Third Proportional to 187.25 and 401.94

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Solution

The third proportional to 187.25 and 401.94 is: 862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.25 : 401.94 = 401.94 : x
  2. Step 2: Convert to fraction form
    187.25/401.94 = 401.94/x
  3. Step 3: Cross multiply
    187.25x = 401.94 × 401.94
  4. Step 4: Simplify right side
    187.25x = 161,553.75
  5. Step 5: Solve for x
    x = 161,553.75/187.25
  6. Step 6: Final answer
    x = 862.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.