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Finding the Third Proportional to 214,522 and 321,685

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Solution

The third proportional to 214,522 and 321,685 is: 482,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,522 : 321,685 = 321,685 : x
  2. Step 2: Convert to fraction form
    214,522/321,685 = 321,685/x
  3. Step 3: Cross multiply
    214,522x = 321,685 × 321,685
  4. Step 4: Simplify right side
    214,522x = 103,481,239,225
  5. Step 5: Solve for x
    x = 103,481,239,225/214,522
  6. Step 6: Final answer
    x = 482,380.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.