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Finding the Third Proportional to 211,969 and 449,210

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Solution

The third proportional to 211,969 and 449,210 is: 951,977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,969 : 449,210 = 449,210 : x
  2. Step 2: Convert to fraction form
    211,969/449,210 = 449,210/x
  3. Step 3: Cross multiply
    211,969x = 449,210 × 449,210
  4. Step 4: Simplify right side
    211,969x = 201,789,624,100
  5. Step 5: Solve for x
    x = 201,789,624,100/211,969
  6. Step 6: Final answer
    x = 951,977.05

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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.