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Finding the Third Proportional to 213,808 and 451,753

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Solution

The third proportional to 213,808 and 451,753 is: 954,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,808 : 451,753 = 451,753 : x
  2. Step 2: Convert to fraction form
    213,808/451,753 = 451,753/x
  3. Step 3: Cross multiply
    213,808x = 451,753 × 451,753
  4. Step 4: Simplify right side
    213,808x = 204,080,773,009
  5. Step 5: Solve for x
    x = 204,080,773,009/213,808
  6. Step 6: Final answer
    x = 954,504.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.