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Finding the Third Proportional to 271,450 and 356,955

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Solution

The third proportional to 271,450 and 356,955 is: 469,393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,450 : 356,955 = 356,955 : x
  2. Step 2: Convert to fraction form
    271,450/356,955 = 356,955/x
  3. Step 3: Cross multiply
    271,450x = 356,955 × 356,955
  4. Step 4: Simplify right side
    271,450x = 127,416,872,025
  5. Step 5: Solve for x
    x = 127,416,872,025/271,450
  6. Step 6: Final answer
    x = 469,393.52

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.