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Finding the Third Proportional to 379,550 and 821,436

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Solution

The third proportional to 379,550 and 821,436 is: 1,777,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,550 : 821,436 = 821,436 : x
  2. Step 2: Convert to fraction form
    379,550/821,436 = 821,436/x
  3. Step 3: Cross multiply
    379,550x = 821,436 × 821,436
  4. Step 4: Simplify right side
    379,550x = 674,757,102,096
  5. Step 5: Solve for x
    x = 674,757,102,096/379,550
  6. Step 6: Final answer
    x = 1,777,781.85

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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.