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Finding the Third Proportional to 214,200 and 321,138

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Solution

The third proportional to 214,200 and 321,138 is: 481,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,200 : 321,138 = 321,138 : x
  2. Step 2: Convert to fraction form
    214,200/321,138 = 321,138/x
  3. Step 3: Cross multiply
    214,200x = 321,138 × 321,138
  4. Step 4: Simplify right side
    214,200x = 103,129,615,044
  5. Step 5: Solve for x
    x = 103,129,615,044/214,200
  6. Step 6: Final answer
    x = 481,464.12

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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.