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Finding the Third Proportional to 305,383 and 664,978

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Solution

The third proportional to 305,383 and 664,978 is: 1,448,003.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,383 : 664,978 = 664,978 : x
  2. Step 2: Convert to fraction form
    305,383/664,978 = 664,978/x
  3. Step 3: Cross multiply
    305,383x = 664,978 × 664,978
  4. Step 4: Simplify right side
    305,383x = 442,195,740,484
  5. Step 5: Solve for x
    x = 442,195,740,484/305,383
  6. Step 6: Final answer
    x = 1,448,003.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.