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Finding the Third Proportional to 258,761.25 and 397,176.75

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Solution

The third proportional to 258,761.25 and 397,176.75 is: 609,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,761.25 : 397,176.75 = 397,176.75 : x
  2. Step 2: Convert to fraction form
    258,761.25/397,176.75 = 397,176.75/x
  3. Step 3: Cross multiply
    258,761.25x = 397,176.75 × 397,176.75
  4. Step 4: Simplify right side
    258,761.25x = 157,749,370,740.56
  5. Step 5: Solve for x
    x = 157,749,370,740.56/258,761.25
  6. Step 6: Final answer
    x = 609,632.90

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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.