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Finding the Third Proportional to 270.88 and 413.94

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Solution

The third proportional to 270.88 and 413.94 is: 632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.88 : 413.94 = 413.94 : x
  2. Step 2: Convert to fraction form
    270.88/413.94 = 413.94/x
  3. Step 3: Cross multiply
    270.88x = 413.94 × 413.94
  4. Step 4: Simplify right side
    270.88x = 171,344.25
  5. Step 5: Solve for x
    x = 171,344.25/270.88
  6. Step 6: Final answer
    x = 632.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.