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Finding the Third Proportional to 105,489 and 214,894

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Solution

The third proportional to 105,489 and 214,894 is: 437,765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,489 : 214,894 = 214,894 : x
  2. Step 2: Convert to fraction form
    105,489/214,894 = 214,894/x
  3. Step 3: Cross multiply
    105,489x = 214,894 × 214,894
  4. Step 4: Simplify right side
    105,489x = 46,179,431,236
  5. Step 5: Solve for x
    x = 46,179,431,236/105,489
  6. Step 6: Final answer
    x = 437,765.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.