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Finding the Third Proportional to 211,972 and 449,216

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Solution

The third proportional to 211,972 and 449,216 is: 951,989.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,972 : 449,216 = 449,216 : x
  2. Step 2: Convert to fraction form
    211,972/449,216 = 449,216/x
  3. Step 3: Cross multiply
    211,972x = 449,216 × 449,216
  4. Step 4: Simplify right side
    211,972x = 201,795,014,656
  5. Step 5: Solve for x
    x = 201,795,014,656/211,972
  6. Step 6: Final answer
    x = 951,989.01

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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.