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Finding the Third Proportional to 211,970 and 449,212

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Solution

The third proportional to 211,970 and 449,212 is: 951,981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,970 : 449,212 = 449,212 : x
  2. Step 2: Convert to fraction form
    211,970/449,212 = 449,212/x
  3. Step 3: Cross multiply
    211,970x = 449,212 × 449,212
  4. Step 4: Simplify right side
    211,970x = 201,791,420,944
  5. Step 5: Solve for x
    x = 201,791,420,944/211,970
  6. Step 6: Final answer
    x = 951,981.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.