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Finding the Third Proportional to 413.62 and 579.74

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Solution

The third proportional to 413.62 and 579.74 is: 812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.62 : 579.74 = 579.74 : x
  2. Step 2: Convert to fraction form
    413.62/579.74 = 579.74/x
  3. Step 3: Cross multiply
    413.62x = 579.74 × 579.74
  4. Step 4: Simplify right side
    413.62x = 336,093.08
  5. Step 5: Solve for x
    x = 336,093.08/413.62
  6. Step 6: Final answer
    x = 812.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.