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Finding the Third Proportional to 320,517 and 685,503

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Solution

The third proportional to 320,517 and 685,503 is: 1,466,113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,517 : 685,503 = 685,503 : x
  2. Step 2: Convert to fraction form
    320,517/685,503 = 685,503/x
  3. Step 3: Cross multiply
    320,517x = 685,503 × 685,503
  4. Step 4: Simplify right side
    320,517x = 469,914,363,009
  5. Step 5: Solve for x
    x = 469,914,363,009/320,517
  6. Step 6: Final answer
    x = 1,466,113.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.