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Finding the Third Proportional to 324,918 and 679,347

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Solution

The third proportional to 324,918 and 679,347 is: 1,420,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,918 : 679,347 = 679,347 : x
  2. Step 2: Convert to fraction form
    324,918/679,347 = 679,347/x
  3. Step 3: Cross multiply
    324,918x = 679,347 × 679,347
  4. Step 4: Simplify right side
    324,918x = 461,512,346,409
  5. Step 5: Solve for x
    x = 461,512,346,409/324,918
  6. Step 6: Final answer
    x = 1,420,396.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.