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Finding the Third Proportional to 313,512 and 665,760

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Solution

The third proportional to 313,512 and 665,760 is: 1,413,778.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,512 : 665,760 = 665,760 : x
  2. Step 2: Convert to fraction form
    313,512/665,760 = 665,760/x
  3. Step 3: Cross multiply
    313,512x = 665,760 × 665,760
  4. Step 4: Simplify right side
    313,512x = 443,236,377,600
  5. Step 5: Solve for x
    x = 443,236,377,600/313,512
  6. Step 6: Final answer
    x = 1,413,778.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.