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Finding the Third Proportional to 104,969 and 206,297

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Solution

The third proportional to 104,969 and 206,297 is: 405,438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,969 : 206,297 = 206,297 : x
  2. Step 2: Convert to fraction form
    104,969/206,297 = 206,297/x
  3. Step 3: Cross multiply
    104,969x = 206,297 × 206,297
  4. Step 4: Simplify right side
    104,969x = 42,558,452,209
  5. Step 5: Solve for x
    x = 42,558,452,209/104,969
  6. Step 6: Final answer
    x = 405,438.29

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.