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Finding the Third Proportional to 45,406 and 68,171

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Solution

The third proportional to 45,406 and 68,171 is: 102,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,406 : 68,171 = 68,171 : x
  2. Step 2: Convert to fraction form
    45,406/68,171 = 68,171/x
  3. Step 3: Cross multiply
    45,406x = 68,171 × 68,171
  4. Step 4: Simplify right side
    45,406x = 4,647,285,241
  5. Step 5: Solve for x
    x = 4,647,285,241/45,406
  6. Step 6: Final answer
    x = 102,349.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.