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Finding the Third Proportional to 259,168.25 and 405,672.75

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Solution

The third proportional to 259,168.25 and 405,672.75 is: 634,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,168.25 : 405,672.75 = 405,672.75 : x
  2. Step 2: Convert to fraction form
    259,168.25/405,672.75 = 405,672.75/x
  3. Step 3: Cross multiply
    259,168.25x = 405,672.75 × 405,672.75
  4. Step 4: Simplify right side
    259,168.25x = 164,570,380,092.56
  5. Step 5: Solve for x
    x = 164,570,380,092.56/259,168.25
  6. Step 6: Final answer
    x = 634,994.37

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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.