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Finding the Third Proportional to 214,144 and 445,280

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Solution

The third proportional to 214,144 and 445,280 is: 925,892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,144 : 445,280 = 445,280 : x
  2. Step 2: Convert to fraction form
    214,144/445,280 = 445,280/x
  3. Step 3: Cross multiply
    214,144x = 445,280 × 445,280
  4. Step 4: Simplify right side
    214,144x = 198,274,278,400
  5. Step 5: Solve for x
    x = 198,274,278,400/214,144
  6. Step 6: Final answer
    x = 925,892.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.