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Finding the Third Proportional to 318,431.25 and 481,754.25

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Solution

The third proportional to 318,431.25 and 481,754.25 is: 728,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,431.25 : 481,754.25 = 481,754.25 : x
  2. Step 2: Convert to fraction form
    318,431.25/481,754.25 = 481,754.25/x
  3. Step 3: Cross multiply
    318,431.25x = 481,754.25 × 481,754.25
  4. Step 4: Simplify right side
    318,431.25x = 232,087,157,393.06
  5. Step 5: Solve for x
    x = 232,087,157,393.06/318,431.25
  6. Step 6: Final answer
    x = 728,845.42

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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.