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Finding the Third Proportional to 121,285 and 263,805

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Solution

The third proportional to 121,285 and 263,805 is: 573,797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,285 : 263,805 = 263,805 : x
  2. Step 2: Convert to fraction form
    121,285/263,805 = 263,805/x
  3. Step 3: Cross multiply
    121,285x = 263,805 × 263,805
  4. Step 4: Simplify right side
    121,285x = 69,593,078,025
  5. Step 5: Solve for x
    x = 69,593,078,025/121,285
  6. Step 6: Final answer
    x = 573,797.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.