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Finding the Third Proportional to 18,509 and 27,273

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Solution

The third proportional to 18,509 and 27,273 is: 40,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509 : 27,273 = 27,273 : x
  2. Step 2: Convert to fraction form
    18,509/27,273 = 27,273/x
  3. Step 3: Cross multiply
    18,509x = 27,273 × 27,273
  4. Step 4: Simplify right side
    18,509x = 743,816,529
  5. Step 5: Solve for x
    x = 743,816,529/18,509
  6. Step 6: Final answer
    x = 40,186.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.