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Finding the Third Proportional to 320,995 and 677,803

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Solution

The third proportional to 320,995 and 677,803 is: 1,431,227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,995 : 677,803 = 677,803 : x
  2. Step 2: Convert to fraction form
    320,995/677,803 = 677,803/x
  3. Step 3: Cross multiply
    320,995x = 677,803 × 677,803
  4. Step 4: Simplify right side
    320,995x = 459,416,906,809
  5. Step 5: Solve for x
    x = 459,416,906,809/320,995
  6. Step 6: Final answer
    x = 1,431,227.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.