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Finding the Third Proportional to 263,441.25 and 408,675.38

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Solution

The third proportional to 263,441.25 and 408,675.38 is: 633,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,441.25 : 408,675.38 = 408,675.38 : x
  2. Step 2: Convert to fraction form
    263,441.25/408,675.38 = 408,675.38/x
  3. Step 3: Cross multiply
    263,441.25x = 408,675.38 × 408,675.38
  4. Step 4: Simplify right side
    263,441.25x = 167,015,562,131.39
  5. Step 5: Solve for x
    x = 167,015,562,131.39/263,441.25
  6. Step 6: Final answer
    x = 633,976.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.