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Finding the Third Proportional to 187.95 and 408.48

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Solution

The third proportional to 187.95 and 408.48 is: 887.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.95 : 408.48 = 408.48 : x
  2. Step 2: Convert to fraction form
    187.95/408.48 = 408.48/x
  3. Step 3: Cross multiply
    187.95x = 408.48 × 408.48
  4. Step 4: Simplify right side
    187.95x = 166,856.29
  5. Step 5: Solve for x
    x = 166,856.29/187.95
  6. Step 6: Final answer
    x = 887.79

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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.