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Finding the Third Proportional to 271,984 and 449,489

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Solution

The third proportional to 271,984 and 449,489 is: 742,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,984 : 449,489 = 449,489 : x
  2. Step 2: Convert to fraction form
    271,984/449,489 = 449,489/x
  3. Step 3: Cross multiply
    271,984x = 449,489 × 449,489
  4. Step 4: Simplify right side
    271,984x = 202,040,361,121
  5. Step 5: Solve for x
    x = 202,040,361,121/271,984
  6. Step 6: Final answer
    x = 742,839.14

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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.