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Finding the Third Proportional to 379,524 and 821,384

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Solution

The third proportional to 379,524 and 821,384 is: 1,777,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,524 : 821,384 = 821,384 : x
  2. Step 2: Convert to fraction form
    379,524/821,384 = 821,384/x
  3. Step 3: Cross multiply
    379,524x = 821,384 × 821,384
  4. Step 4: Simplify right side
    379,524x = 674,671,675,456
  5. Step 5: Solve for x
    x = 674,671,675,456/379,524
  6. Step 6: Final answer
    x = 1,777,678.55

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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.