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Finding the Third Proportional to 258,935 and 397,458

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Solution

The third proportional to 258,935 and 397,458 is: 610,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,935 : 397,458 = 397,458 : x
  2. Step 2: Convert to fraction form
    258,935/397,458 = 397,458/x
  3. Step 3: Cross multiply
    258,935x = 397,458 × 397,458
  4. Step 4: Simplify right side
    258,935x = 157,972,861,764
  5. Step 5: Solve for x
    x = 157,972,861,764/258,935
  6. Step 6: Final answer
    x = 610,086.94

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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.