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Finding the Third Proportional to 275,222 and 557,838

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Solution

The third proportional to 275,222 and 557,838 is: 1,130,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,222 : 557,838 = 557,838 : x
  2. Step 2: Convert to fraction form
    275,222/557,838 = 557,838/x
  3. Step 3: Cross multiply
    275,222x = 557,838 × 557,838
  4. Step 4: Simplify right side
    275,222x = 311,183,234,244
  5. Step 5: Solve for x
    x = 311,183,234,244/275,222
  6. Step 6: Final answer
    x = 1,130,662.64

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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.