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Finding the Third Proportional to 210,992 and 449,661

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Solution

The third proportional to 210,992 and 449,661 is: 958,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,992 : 449,661 = 449,661 : x
  2. Step 2: Convert to fraction form
    210,992/449,661 = 449,661/x
  3. Step 3: Cross multiply
    210,992x = 449,661 × 449,661
  4. Step 4: Simplify right side
    210,992x = 202,195,014,921
  5. Step 5: Solve for x
    x = 202,195,014,921/210,992
  6. Step 6: Final answer
    x = 958,306.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.