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Finding the Third Proportional to 306,969 and 664,383

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Solution

The third proportional to 306,969 and 664,383 is: 1,437,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,969 : 664,383 = 664,383 : x
  2. Step 2: Convert to fraction form
    306,969/664,383 = 664,383/x
  3. Step 3: Cross multiply
    306,969x = 664,383 × 664,383
  4. Step 4: Simplify right side
    306,969x = 441,404,770,689
  5. Step 5: Solve for x
    x = 441,404,770,689/306,969
  6. Step 6: Final answer
    x = 1,437,945.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.