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Finding the Third Proportional to 379,522 and 821,380

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Solution

The third proportional to 379,522 and 821,380 is: 1,777,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,522 : 821,380 = 821,380 : x
  2. Step 2: Convert to fraction form
    379,522/821,380 = 821,380/x
  3. Step 3: Cross multiply
    379,522x = 821,380 × 821,380
  4. Step 4: Simplify right side
    379,522x = 674,665,104,400
  5. Step 5: Solve for x
    x = 674,665,104,400/379,522
  6. Step 6: Final answer
    x = 1,777,670.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.