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Finding the Third Proportional to 258,912 and 406,836

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Solution

The third proportional to 258,912 and 406,836 is: 639,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,912 : 406,836 = 406,836 : x
  2. Step 2: Convert to fraction form
    258,912/406,836 = 406,836/x
  3. Step 3: Cross multiply
    258,912x = 406,836 × 406,836
  4. Step 4: Simplify right side
    258,912x = 165,515,530,896
  5. Step 5: Solve for x
    x = 165,515,530,896/258,912
  6. Step 6: Final answer
    x = 639,273.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.