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Finding the Third Proportional to 99,973 and 211,183

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Solution

The third proportional to 99,973 and 211,183 is: 446,103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,973 : 211,183 = 211,183 : x
  2. Step 2: Convert to fraction form
    99,973/211,183 = 211,183/x
  3. Step 3: Cross multiply
    99,973x = 211,183 × 211,183
  4. Step 4: Simplify right side
    99,973x = 44,598,259,489
  5. Step 5: Solve for x
    x = 44,598,259,489/99,973
  6. Step 6: Final answer
    x = 446,103.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.