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Finding the Third Proportional to 92,684 and 203,800

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Solution

The third proportional to 92,684 and 203,800 is: 448,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,684 : 203,800 = 203,800 : x
  2. Step 2: Convert to fraction form
    92,684/203,800 = 203,800/x
  3. Step 3: Cross multiply
    92,684x = 203,800 × 203,800
  4. Step 4: Simplify right side
    92,684x = 41,534,440,000
  5. Step 5: Solve for x
    x = 41,534,440,000/92,684
  6. Step 6: Final answer
    x = 448,129.56

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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.