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Finding the Third Proportional to 92,682 and 203,406

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Solution

The third proportional to 92,682 and 203,406 is: 446,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,682 : 203,406 = 203,406 : x
  2. Step 2: Convert to fraction form
    92,682/203,406 = 203,406/x
  3. Step 3: Cross multiply
    92,682x = 203,406 × 203,406
  4. Step 4: Simplify right side
    92,682x = 41,374,000,836
  5. Step 5: Solve for x
    x = 41,374,000,836/92,682
  6. Step 6: Final answer
    x = 446,408.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.