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Finding the Third Proportional to 12,173 and 18,273

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Solution

The third proportional to 12,173 and 18,273 is: 27,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,173 : 18,273 = 18,273 : x
  2. Step 2: Convert to fraction form
    12,173/18,273 = 18,273/x
  3. Step 3: Cross multiply
    12,173x = 18,273 × 18,273
  4. Step 4: Simplify right side
    12,173x = 333,902,529
  5. Step 5: Solve for x
    x = 333,902,529/12,173
  6. Step 6: Final answer
    x = 27,429.76

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