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Finding the Third Proportional to 271,448 and 356,954

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Solution

The third proportional to 271,448 and 356,954 is: 469,394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,448 : 356,954 = 356,954 : x
  2. Step 2: Convert to fraction form
    271,448/356,954 = 356,954/x
  3. Step 3: Cross multiply
    271,448x = 356,954 × 356,954
  4. Step 4: Simplify right side
    271,448x = 127,416,158,116
  5. Step 5: Solve for x
    x = 127,416,158,116/271,448
  6. Step 6: Final answer
    x = 469,394.35

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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.