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Finding the Third Proportional to 251.96 and 413.54

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Solution

The third proportional to 251.96 and 413.54 is: 678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.96 : 413.54 = 413.54 : x
  2. Step 2: Convert to fraction form
    251.96/413.54 = 413.54/x
  3. Step 3: Cross multiply
    251.96x = 413.54 × 413.54
  4. Step 4: Simplify right side
    251.96x = 171,017.79
  5. Step 5: Solve for x
    x = 171,017.79/251.96
  6. Step 6: Final answer
    x = 678.74

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.