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Finding the Third Proportional to 320,416 and 682,251

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Solution

The third proportional to 320,416 and 682,251 is: 1,452,694.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,416 : 682,251 = 682,251 : x
  2. Step 2: Convert to fraction form
    320,416/682,251 = 682,251/x
  3. Step 3: Cross multiply
    320,416x = 682,251 × 682,251
  4. Step 4: Simplify right side
    320,416x = 465,466,427,001
  5. Step 5: Solve for x
    x = 465,466,427,001/320,416
  6. Step 6: Final answer
    x = 1,452,694.08

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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.