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Finding the Third Proportional to 274,104 and 421,856

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Solution

The third proportional to 274,104 and 421,856 is: 649,251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,104 : 421,856 = 421,856 : x
  2. Step 2: Convert to fraction form
    274,104/421,856 = 421,856/x
  3. Step 3: Cross multiply
    274,104x = 421,856 × 421,856
  4. Step 4: Simplify right side
    274,104x = 177,962,484,736
  5. Step 5: Solve for x
    x = 177,962,484,736/274,104
  6. Step 6: Final answer
    x = 649,251.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.