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Finding the Third Proportional to 187.97 and 401.81

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Solution

The third proportional to 187.97 and 401.81 is: 858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.97 : 401.81 = 401.81 : x
  2. Step 2: Convert to fraction form
    187.97/401.81 = 401.81/x
  3. Step 3: Cross multiply
    187.97x = 401.81 × 401.81
  4. Step 4: Simplify right side
    187.97x = 161,453.29
  5. Step 5: Solve for x
    x = 161,453.29/187.97
  6. Step 6: Final answer
    x = 858.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.