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Finding the Third Proportional to 271,977 and 449,478

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Solution

The third proportional to 271,977 and 449,478 is: 742,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,977 : 449,478 = 449,478 : x
  2. Step 2: Convert to fraction form
    271,977/449,478 = 449,478/x
  3. Step 3: Cross multiply
    271,977x = 449,478 × 449,478
  4. Step 4: Simplify right side
    271,977x = 202,030,472,484
  5. Step 5: Solve for x
    x = 202,030,472,484/271,977
  6. Step 6: Final answer
    x = 742,821.90

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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.