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Finding the Third Proportional to 413.94 and 628.47

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Solution

The third proportional to 413.94 and 628.47 is: 954.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.94 : 628.47 = 628.47 : x
  2. Step 2: Convert to fraction form
    413.94/628.47 = 628.47/x
  3. Step 3: Cross multiply
    413.94x = 628.47 × 628.47
  4. Step 4: Simplify right side
    413.94x = 394,972.97
  5. Step 5: Solve for x
    x = 394,972.97/413.94
  6. Step 6: Final answer
    x = 954.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.