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Finding the Third Proportional to 333,991 and 679,645

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Solution

The third proportional to 333,991 and 679,645 is: 1,383,023.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,991 : 679,645 = 679,645 : x
  2. Step 2: Convert to fraction form
    333,991/679,645 = 679,645/x
  3. Step 3: Cross multiply
    333,991x = 679,645 × 679,645
  4. Step 4: Simplify right side
    333,991x = 461,917,326,025
  5. Step 5: Solve for x
    x = 461,917,326,025/333,991
  6. Step 6: Final answer
    x = 1,383,023.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.