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Finding the Third Proportional to 324,540 and 699,012

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Solution

The third proportional to 324,540 and 699,012 is: 1,505,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,540 : 699,012 = 699,012 : x
  2. Step 2: Convert to fraction form
    324,540/699,012 = 699,012/x
  3. Step 3: Cross multiply
    324,540x = 699,012 × 699,012
  4. Step 4: Simplify right side
    324,540x = 488,617,776,144
  5. Step 5: Solve for x
    x = 488,617,776,144/324,540
  6. Step 6: Final answer
    x = 1,505,570.27

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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.