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Finding the Third Proportional to 320,446 and 682,310

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Solution

The third proportional to 320,446 and 682,310 is: 1,452,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,446 : 682,310 = 682,310 : x
  2. Step 2: Convert to fraction form
    320,446/682,310 = 682,310/x
  3. Step 3: Cross multiply
    320,446x = 682,310 × 682,310
  4. Step 4: Simplify right side
    320,446x = 465,546,936,100
  5. Step 5: Solve for x
    x = 465,546,936,100/320,446
  6. Step 6: Final answer
    x = 1,452,809.32

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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.