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Finding the Third Proportional to 214,536 and 321,390

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Solution

The third proportional to 214,536 and 321,390 is: 481,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,536 : 321,390 = 321,390 : x
  2. Step 2: Convert to fraction form
    214,536/321,390 = 321,390/x
  3. Step 3: Cross multiply
    214,536x = 321,390 × 321,390
  4. Step 4: Simplify right side
    214,536x = 103,291,532,100
  5. Step 5: Solve for x
    x = 103,291,532,100/214,536
  6. Step 6: Final answer
    x = 481,464.80

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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.