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Finding the Third Proportional to 306,733 and 628,339.50

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Solution

The third proportional to 306,733 and 628,339.50 is: 1,287,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,733 : 628,339.50 = 628,339.50 : x
  2. Step 2: Convert to fraction form
    306,733/628,339.50 = 628,339.50/x
  3. Step 3: Cross multiply
    306,733x = 628,339.50 × 628,339.50
  4. Step 4: Simplify right side
    306,733x = 394,810,527,260.25
  5. Step 5: Solve for x
    x = 394,810,527,260.25/306,733
  6. Step 6: Final answer
    x = 1,287,147.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.