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Finding the Third Proportional to 320,404.50 and 682,220.25

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Solution

The third proportional to 320,404.50 and 682,220.25 is: 1,452,615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,404.50 : 682,220.25 = 682,220.25 : x
  2. Step 2: Convert to fraction form
    320,404.50/682,220.25 = 682,220.25/x
  3. Step 3: Cross multiply
    320,404.50x = 682,220.25 × 682,220.25
  4. Step 4: Simplify right side
    320,404.50x = 465,424,469,510.06
  5. Step 5: Solve for x
    x = 465,424,469,510.06/320,404.50
  6. Step 6: Final answer
    x = 1,452,615.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.