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Finding the Third Proportional to 258,843.09 and 397,306.27

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Solution

The third proportional to 258,843.09 and 397,306.27 is: 609,837.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,843.09 : 397,306.27 = 397,306.27 : x
  2. Step 2: Convert to fraction form
    258,843.09/397,306.27 = 397,306.27/x
  3. Step 3: Cross multiply
    258,843.09x = 397,306.27 × 397,306.27
  4. Step 4: Simplify right side
    258,843.09x = 157,852,268,704.88
  5. Step 5: Solve for x
    x = 157,852,268,704.88/258,843.09
  6. Step 6: Final answer
    x = 609,837.67

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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.