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Finding the Third Proportional to 129,268 and 278,227

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Solution

The third proportional to 129,268 and 278,227 is: 598,835.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,268 : 278,227 = 278,227 : x
  2. Step 2: Convert to fraction form
    129,268/278,227 = 278,227/x
  3. Step 3: Cross multiply
    129,268x = 278,227 × 278,227
  4. Step 4: Simplify right side
    129,268x = 77,410,263,529
  5. Step 5: Solve for x
    x = 77,410,263,529/129,268
  6. Step 6: Final answer
    x = 598,835.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.