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Finding the Third Proportional to 324,171 and 698,278

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Solution

The third proportional to 324,171 and 698,278 is: 1,504,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,171 : 698,278 = 698,278 : x
  2. Step 2: Convert to fraction form
    324,171/698,278 = 698,278/x
  3. Step 3: Cross multiply
    324,171x = 698,278 × 698,278
  4. Step 4: Simplify right side
    324,171x = 487,592,165,284
  5. Step 5: Solve for x
    x = 487,592,165,284/324,171
  6. Step 6: Final answer
    x = 1,504,120.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.