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Finding the Third Proportional to 321,790 and 437,027

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Solution

The third proportional to 321,790 and 437,027 is: 593,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,790 : 437,027 = 437,027 : x
  2. Step 2: Convert to fraction form
    321,790/437,027 = 437,027/x
  3. Step 3: Cross multiply
    321,790x = 437,027 × 437,027
  4. Step 4: Simplify right side
    321,790x = 190,992,598,729
  5. Step 5: Solve for x
    x = 190,992,598,729/321,790
  6. Step 6: Final answer
    x = 593,531.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.