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Finding the Third Proportional to 258,941.25 and 397,433.25

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Solution

The third proportional to 258,941.25 and 397,433.25 is: 609,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,941.25 : 397,433.25 = 397,433.25 : x
  2. Step 2: Convert to fraction form
    258,941.25/397,433.25 = 397,433.25/x
  3. Step 3: Cross multiply
    258,941.25x = 397,433.25 × 397,433.25
  4. Step 4: Simplify right side
    258,941.25x = 157,953,188,205.56
  5. Step 5: Solve for x
    x = 157,953,188,205.56/258,941.25
  6. Step 6: Final answer
    x = 609,996.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.