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Finding the Third Proportional to 258,769 and 397,189

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Solution

The third proportional to 258,769 and 397,189 is: 609,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,769 : 397,189 = 397,189 : x
  2. Step 2: Convert to fraction form
    258,769/397,189 = 397,189/x
  3. Step 3: Cross multiply
    258,769x = 397,189 × 397,189
  4. Step 4: Simplify right side
    258,769x = 157,759,101,721
  5. Step 5: Solve for x
    x = 157,759,101,721/258,769
  6. Step 6: Final answer
    x = 609,652.24

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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.