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Finding the Third Proportional to 376,921 and 821,617

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Solution

The third proportional to 376,921 and 821,617 is: 1,790,970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,921 : 821,617 = 821,617 : x
  2. Step 2: Convert to fraction form
    376,921/821,617 = 821,617/x
  3. Step 3: Cross multiply
    376,921x = 821,617 × 821,617
  4. Step 4: Simplify right side
    376,921x = 675,054,494,689
  5. Step 5: Solve for x
    x = 675,054,494,689/376,921
  6. Step 6: Final answer
    x = 1,790,970.77

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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.