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Finding the Third Proportional to 320,405 and 682,221

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Solution

The third proportional to 320,405 and 682,221 is: 1,452,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,405 : 682,221 = 682,221 : x
  2. Step 2: Convert to fraction form
    320,405/682,221 = 682,221/x
  3. Step 3: Cross multiply
    320,405x = 682,221 × 682,221
  4. Step 4: Simplify right side
    320,405x = 465,425,492,841
  5. Step 5: Solve for x
    x = 465,425,492,841/320,405
  6. Step 6: Final answer
    x = 1,452,616.20

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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.