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Finding the Third Proportional to 214,520 and 321,366

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Solution

The third proportional to 214,520 and 321,366 is: 481,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,520 : 321,366 = 321,366 : x
  2. Step 2: Convert to fraction form
    214,520/321,366 = 321,366/x
  3. Step 3: Cross multiply
    214,520x = 321,366 × 321,366
  4. Step 4: Simplify right side
    214,520x = 103,276,105,956
  5. Step 5: Solve for x
    x = 103,276,105,956/214,520
  6. Step 6: Final answer
    x = 481,428.80

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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.