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Finding the Third Proportional to 168,360 and 369,930

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Solution

The third proportional to 168,360 and 369,930 is: 812,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,360 : 369,930 = 369,930 : x
  2. Step 2: Convert to fraction form
    168,360/369,930 = 369,930/x
  3. Step 3: Cross multiply
    168,360x = 369,930 × 369,930
  4. Step 4: Simplify right side
    168,360x = 136,848,204,900
  5. Step 5: Solve for x
    x = 136,848,204,900/168,360
  6. Step 6: Final answer
    x = 812,830.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.