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Finding the Third Proportional to 271,384 and 550,128

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Solution

The third proportional to 271,384 and 550,128 is: 1,115,175.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,384 : 550,128 = 550,128 : x
  2. Step 2: Convert to fraction form
    271,384/550,128 = 550,128/x
  3. Step 3: Cross multiply
    271,384x = 550,128 × 550,128
  4. Step 4: Simplify right side
    271,384x = 302,640,816,384
  5. Step 5: Solve for x
    x = 302,640,816,384/271,384
  6. Step 6: Final answer
    x = 1,115,175.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.