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Finding the Third Proportional to 320,440.50 and 682,299

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Solution

The third proportional to 320,440.50 and 682,299 is: 1,452,787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,440.50 : 682,299 = 682,299 : x
  2. Step 2: Convert to fraction form
    320,440.50/682,299 = 682,299/x
  3. Step 3: Cross multiply
    320,440.50x = 682,299 × 682,299
  4. Step 4: Simplify right side
    320,440.50x = 465,531,925,401
  5. Step 5: Solve for x
    x = 465,531,925,401/320,440.50
  6. Step 6: Final answer
    x = 1,452,787.41

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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.