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Finding the Third Proportional to 313,128 and 682,128

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Solution

The third proportional to 313,128 and 682,128 is: 1,485,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,128 : 682,128 = 682,128 : x
  2. Step 2: Convert to fraction form
    313,128/682,128 = 682,128/x
  3. Step 3: Cross multiply
    313,128x = 682,128 × 682,128
  4. Step 4: Simplify right side
    313,128x = 465,298,608,384
  5. Step 5: Solve for x
    x = 465,298,608,384/313,128
  6. Step 6: Final answer
    x = 1,485,969.34

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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.