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Finding the Third Proportional to 307,239.33 and 670,759.73

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Solution

The third proportional to 307,239.33 and 670,759.73 is: 1,464,391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,239.33 : 670,759.73 = 670,759.73 : x
  2. Step 2: Convert to fraction form
    307,239.33/670,759.73 = 670,759.73/x
  3. Step 3: Cross multiply
    307,239.33x = 670,759.73 × 670,759.73
  4. Step 4: Simplify right side
    307,239.33x = 449,918,621,258.82
  5. Step 5: Solve for x
    x = 449,918,621,258.82/307,239.33
  6. Step 6: Final answer
    x = 1,464,391.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.