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Finding the Third Proportional to 50,800 and 110,336

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Solution

The third proportional to 50,800 and 110,336 is: 239,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,800 : 110,336 = 110,336 : x
  2. Step 2: Convert to fraction form
    50,800/110,336 = 110,336/x
  3. Step 3: Cross multiply
    50,800x = 110,336 × 110,336
  4. Step 4: Simplify right side
    50,800x = 12,174,032,896
  5. Step 5: Solve for x
    x = 12,174,032,896/50,800
  6. Step 6: Final answer
    x = 239,646.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.