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Finding the Third Proportional to 211,692 and 300,906

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Solution

The third proportional to 211,692 and 300,906 is: 427,717.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,692 : 300,906 = 300,906 : x
  2. Step 2: Convert to fraction form
    211,692/300,906 = 300,906/x
  3. Step 3: Cross multiply
    211,692x = 300,906 × 300,906
  4. Step 4: Simplify right side
    211,692x = 90,544,420,836
  5. Step 5: Solve for x
    x = 90,544,420,836/211,692
  6. Step 6: Final answer
    x = 427,717.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.