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Finding the Third Proportional to 378,641 and 807,799

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Solution

The third proportional to 378,641 and 807,799 is: 1,723,371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,641 : 807,799 = 807,799 : x
  2. Step 2: Convert to fraction form
    378,641/807,799 = 807,799/x
  3. Step 3: Cross multiply
    378,641x = 807,799 × 807,799
  4. Step 4: Simplify right side
    378,641x = 652,539,224,401
  5. Step 5: Solve for x
    x = 652,539,224,401/378,641
  6. Step 6: Final answer
    x = 1,723,371.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.