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Finding the Third Proportional to 271,979 and 449,481

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Solution

The third proportional to 271,979 and 449,481 is: 742,826.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,979 : 449,481 = 449,481 : x
  2. Step 2: Convert to fraction form
    271,979/449,481 = 449,481/x
  3. Step 3: Cross multiply
    271,979x = 449,481 × 449,481
  4. Step 4: Simplify right side
    271,979x = 202,033,169,361
  5. Step 5: Solve for x
    x = 202,033,169,361/271,979
  6. Step 6: Final answer
    x = 742,826.36

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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.