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Finding the Third Proportional to 260,075 and 408,083

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Solution

The third proportional to 260,075 and 408,083 is: 640,321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,075 : 408,083 = 408,083 : x
  2. Step 2: Convert to fraction form
    260,075/408,083 = 408,083/x
  3. Step 3: Cross multiply
    260,075x = 408,083 × 408,083
  4. Step 4: Simplify right side
    260,075x = 166,531,734,889
  5. Step 5: Solve for x
    x = 166,531,734,889/260,075
  6. Step 6: Final answer
    x = 640,321.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.