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Finding the Third Proportional to 320,438 and 682,294

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Solution

The third proportional to 320,438 and 682,294 is: 1,452,777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,438 : 682,294 = 682,294 : x
  2. Step 2: Convert to fraction form
    320,438/682,294 = 682,294/x
  3. Step 3: Cross multiply
    320,438x = 682,294 × 682,294
  4. Step 4: Simplify right side
    320,438x = 465,525,102,436
  5. Step 5: Solve for x
    x = 465,525,102,436/320,438
  6. Step 6: Final answer
    x = 1,452,777.46

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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.