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Finding the Third Proportional to 187.88 and 413.91

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Solution

The third proportional to 187.88 and 413.91 is: 911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.88 : 413.91 = 413.91 : x
  2. Step 2: Convert to fraction form
    187.88/413.91 = 413.91/x
  3. Step 3: Cross multiply
    187.88x = 413.91 × 413.91
  4. Step 4: Simplify right side
    187.88x = 171,318.38
  5. Step 5: Solve for x
    x = 171,318.38/187.88
  6. Step 6: Final answer
    x = 911.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.