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Finding the Third Proportional to 320,503 and 683,912

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Solution

The third proportional to 320,503 and 683,912 is: 1,459,379.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,503 : 683,912 = 683,912 : x
  2. Step 2: Convert to fraction form
    320,503/683,912 = 683,912/x
  3. Step 3: Cross multiply
    320,503x = 683,912 × 683,912
  4. Step 4: Simplify right side
    320,503x = 467,735,623,744
  5. Step 5: Solve for x
    x = 467,735,623,744/320,503
  6. Step 6: Final answer
    x = 1,459,379.86

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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.