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Finding the Third Proportional to 276,318 and 421,856

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Solution

The third proportional to 276,318 and 421,856 is: 644,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,318 : 421,856 = 421,856 : x
  2. Step 2: Convert to fraction form
    276,318/421,856 = 421,856/x
  3. Step 3: Cross multiply
    276,318x = 421,856 × 421,856
  4. Step 4: Simplify right side
    276,318x = 177,962,484,736
  5. Step 5: Solve for x
    x = 177,962,484,736/276,318
  6. Step 6: Final answer
    x = 644,049.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.