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Finding the Third Proportional to 319,783 and 461,995

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Solution

The third proportional to 319,783 and 461,995 is: 667,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,783 : 461,995 = 461,995 : x
  2. Step 2: Convert to fraction form
    319,783/461,995 = 461,995/x
  3. Step 3: Cross multiply
    319,783x = 461,995 × 461,995
  4. Step 4: Simplify right side
    319,783x = 213,439,380,025
  5. Step 5: Solve for x
    x = 213,439,380,025/319,783
  6. Step 6: Final answer
    x = 667,450.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.