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Finding the Third Proportional to 92,686 and 203,804

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Solution

The third proportional to 92,686 and 203,804 is: 448,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,686 : 203,804 = 203,804 : x
  2. Step 2: Convert to fraction form
    92,686/203,804 = 203,804/x
  3. Step 3: Cross multiply
    92,686x = 203,804 × 203,804
  4. Step 4: Simplify right side
    92,686x = 41,536,070,416
  5. Step 5: Solve for x
    x = 41,536,070,416/92,686
  6. Step 6: Final answer
    x = 448,137.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.