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Finding the Third Proportional to 271,467 and 356,980

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Solution

The third proportional to 271,467 and 356,980 is: 469,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,467 : 356,980 = 356,980 : x
  2. Step 2: Convert to fraction form
    271,467/356,980 = 356,980/x
  3. Step 3: Cross multiply
    271,467x = 356,980 × 356,980
  4. Step 4: Simplify right side
    271,467x = 127,434,720,400
  5. Step 5: Solve for x
    x = 127,434,720,400/271,467
  6. Step 6: Final answer
    x = 469,429.88

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.