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Finding the Third Proportional to 301,707.75 and 628,443.75

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Solution

The third proportional to 301,707.75 and 628,443.75 is: 1,309,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,707.75 : 628,443.75 = 628,443.75 : x
  2. Step 2: Convert to fraction form
    301,707.75/628,443.75 = 628,443.75/x
  3. Step 3: Cross multiply
    301,707.75x = 628,443.75 × 628,443.75
  4. Step 4: Simplify right side
    301,707.75x = 394,941,546,914.06
  5. Step 5: Solve for x
    x = 394,941,546,914.06/301,707.75
  6. Step 6: Final answer
    x = 1,309,020.23

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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.