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Finding the Third Proportional to 258,736.50 and 356,285.25

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Solution

The third proportional to 258,736.50 and 356,285.25 is: 490,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,736.50 : 356,285.25 = 356,285.25 : x
  2. Step 2: Convert to fraction form
    258,736.50/356,285.25 = 356,285.25/x
  3. Step 3: Cross multiply
    258,736.50x = 356,285.25 × 356,285.25
  4. Step 4: Simplify right side
    258,736.50x = 126,939,179,367.56
  5. Step 5: Solve for x
    x = 126,939,179,367.56/258,736.50
  6. Step 6: Final answer
    x = 490,611.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.