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Finding the Third Proportional to 109,904 and 211,052

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Solution

The third proportional to 109,904 and 211,052 is: 405,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,904 : 211,052 = 211,052 : x
  2. Step 2: Convert to fraction form
    109,904/211,052 = 211,052/x
  3. Step 3: Cross multiply
    109,904x = 211,052 × 211,052
  4. Step 4: Simplify right side
    109,904x = 44,542,946,704
  5. Step 5: Solve for x
    x = 44,542,946,704/109,904
  6. Step 6: Final answer
    x = 405,289.59

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.