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Finding the Third Proportional to 318,361.50 and 481,641

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Solution

The third proportional to 318,361.50 and 481,641 is: 728,662.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,361.50 : 481,641 = 481,641 : x
  2. Step 2: Convert to fraction form
    318,361.50/481,641 = 481,641/x
  3. Step 3: Cross multiply
    318,361.50x = 481,641 × 481,641
  4. Step 4: Simplify right side
    318,361.50x = 231,978,052,881
  5. Step 5: Solve for x
    x = 231,978,052,881/318,361.50
  6. Step 6: Final answer
    x = 728,662.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.