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Finding the Third Proportional to 376,858 and 821,359

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Solution

The third proportional to 376,858 and 821,359 is: 1,790,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,858 : 821,359 = 821,359 : x
  2. Step 2: Convert to fraction form
    376,858/821,359 = 821,359/x
  3. Step 3: Cross multiply
    376,858x = 821,359 × 821,359
  4. Step 4: Simplify right side
    376,858x = 674,630,606,881
  5. Step 5: Solve for x
    x = 674,630,606,881/376,858
  6. Step 6: Final answer
    x = 1,790,145.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.