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Finding the Third Proportional to 324,427 and 698,775

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Solution

The third proportional to 324,427 and 698,775 is: 1,505,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,427 : 698,775 = 698,775 : x
  2. Step 2: Convert to fraction form
    324,427/698,775 = 698,775/x
  3. Step 3: Cross multiply
    324,427x = 698,775 × 698,775
  4. Step 4: Simplify right side
    324,427x = 488,286,500,625
  5. Step 5: Solve for x
    x = 488,286,500,625/324,427
  6. Step 6: Final answer
    x = 1,505,073.56

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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.