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Finding the Third Proportional to 324,459 and 698,834

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Solution

The third proportional to 324,459 and 698,834 is: 1,505,179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,459 : 698,834 = 698,834 : x
  2. Step 2: Convert to fraction form
    324,459/698,834 = 698,834/x
  3. Step 3: Cross multiply
    324,459x = 698,834 × 698,834
  4. Step 4: Simplify right side
    324,459x = 488,368,959,556
  5. Step 5: Solve for x
    x = 488,368,959,556/324,459
  6. Step 6: Final answer
    x = 1,505,179.27

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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.