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Finding the Third Proportional to 207,780 and 451,992

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Solution

The third proportional to 207,780 and 451,992 is: 983,235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,780 : 451,992 = 451,992 : x
  2. Step 2: Convert to fraction form
    207,780/451,992 = 451,992/x
  3. Step 3: Cross multiply
    207,780x = 451,992 × 451,992
  4. Step 4: Simplify right side
    207,780x = 204,296,768,064
  5. Step 5: Solve for x
    x = 204,296,768,064/207,780
  6. Step 6: Final answer
    x = 983,235.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.