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Finding the Third Proportional to 412,912 and 843,328

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Solution

The third proportional to 412,912 and 843,328 is: 1,722,406.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,912 : 843,328 = 843,328 : x
  2. Step 2: Convert to fraction form
    412,912/843,328 = 843,328/x
  3. Step 3: Cross multiply
    412,912x = 843,328 × 843,328
  4. Step 4: Simplify right side
    412,912x = 711,202,115,584
  5. Step 5: Solve for x
    x = 711,202,115,584/412,912
  6. Step 6: Final answer
    x = 1,722,406.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.