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Finding the Third Proportional to 301,738.50 and 628,279.50

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Solution

The third proportional to 301,738.50 and 628,279.50 is: 1,308,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,738.50 : 628,279.50 = 628,279.50 : x
  2. Step 2: Convert to fraction form
    301,738.50/628,279.50 = 628,279.50/x
  3. Step 3: Cross multiply
    301,738.50x = 628,279.50 × 628,279.50
  4. Step 4: Simplify right side
    301,738.50x = 394,735,130,120.25
  5. Step 5: Solve for x
    x = 394,735,130,120.25/301,738.50
  6. Step 6: Final answer
    x = 1,308,202.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.