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Finding the Third Proportional to 321,720 and 682,320

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Solution

The third proportional to 321,720 and 682,320 is: 1,447,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,720 : 682,320 = 682,320 : x
  2. Step 2: Convert to fraction form
    321,720/682,320 = 682,320/x
  3. Step 3: Cross multiply
    321,720x = 682,320 × 682,320
  4. Step 4: Simplify right side
    321,720x = 465,560,582,400
  5. Step 5: Solve for x
    x = 465,560,582,400/321,720
  6. Step 6: Final answer
    x = 1,447,098.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.