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Finding the Third Proportional to 258,912 and 399,744

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Solution

The third proportional to 258,912 and 399,744 is: 617,179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,912 : 399,744 = 399,744 : x
  2. Step 2: Convert to fraction form
    258,912/399,744 = 399,744/x
  3. Step 3: Cross multiply
    258,912x = 399,744 × 399,744
  4. Step 4: Simplify right side
    258,912x = 159,795,265,536
  5. Step 5: Solve for x
    x = 159,795,265,536/258,912
  6. Step 6: Final answer
    x = 617,179.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.