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Finding the Third Proportional to 327,855 and 505,799

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Solution

The third proportional to 327,855 and 505,799 is: 780,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,855 : 505,799 = 505,799 : x
  2. Step 2: Convert to fraction form
    327,855/505,799 = 505,799/x
  3. Step 3: Cross multiply
    327,855x = 505,799 × 505,799
  4. Step 4: Simplify right side
    327,855x = 255,832,628,401
  5. Step 5: Solve for x
    x = 255,832,628,401/327,855
  6. Step 6: Final answer
    x = 780,322.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.