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Finding the Third Proportional to 379,344 and 812,809

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Solution

The third proportional to 379,344 and 812,809 is: 1,741,581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,344 : 812,809 = 812,809 : x
  2. Step 2: Convert to fraction form
    379,344/812,809 = 812,809/x
  3. Step 3: Cross multiply
    379,344x = 812,809 × 812,809
  4. Step 4: Simplify right side
    379,344x = 660,658,470,481
  5. Step 5: Solve for x
    x = 660,658,470,481/379,344
  6. Step 6: Final answer
    x = 1,741,581.44

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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.