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Finding the Third Proportional to 271,772 and 449,172

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Solution

The third proportional to 271,772 and 449,172 is: 742,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,772 : 449,172 = 449,172 : x
  2. Step 2: Convert to fraction form
    271,772/449,172 = 449,172/x
  3. Step 3: Cross multiply
    271,772x = 449,172 × 449,172
  4. Step 4: Simplify right side
    271,772x = 201,755,485,584
  5. Step 5: Solve for x
    x = 201,755,485,584/271,772
  6. Step 6: Final answer
    x = 742,370.39

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.