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Finding the Third Proportional to 168,105 and 364,209

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Solution

The third proportional to 168,105 and 364,209 is: 789,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,105 : 364,209 = 364,209 : x
  2. Step 2: Convert to fraction form
    168,105/364,209 = 364,209/x
  3. Step 3: Cross multiply
    168,105x = 364,209 × 364,209
  4. Step 4: Simplify right side
    168,105x = 132,648,195,681
  5. Step 5: Solve for x
    x = 132,648,195,681/168,105
  6. Step 6: Final answer
    x = 789,079.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.