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Finding the Third Proportional to 258,938 and 397,462

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Solution

The third proportional to 258,938 and 397,462 is: 610,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,938 : 397,462 = 397,462 : x
  2. Step 2: Convert to fraction form
    258,938/397,462 = 397,462/x
  3. Step 3: Cross multiply
    258,938x = 397,462 × 397,462
  4. Step 4: Simplify right side
    258,938x = 157,976,041,444
  5. Step 5: Solve for x
    x = 157,976,041,444/258,938
  6. Step 6: Final answer
    x = 610,092.15

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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.