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Finding the Third Proportional to 321,141 and 451,837

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Solution

The third proportional to 321,141 and 451,837 is: 635,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,141 : 451,837 = 451,837 : x
  2. Step 2: Convert to fraction form
    321,141/451,837 = 451,837/x
  3. Step 3: Cross multiply
    321,141x = 451,837 × 451,837
  4. Step 4: Simplify right side
    321,141x = 204,156,674,569
  5. Step 5: Solve for x
    x = 204,156,674,569/321,141
  6. Step 6: Final answer
    x = 635,722.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.