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Finding the Third Proportional to 18,087 and 39,273

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Solution

The third proportional to 18,087 and 39,273 is: 85,274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,087 : 39,273 = 39,273 : x
  2. Step 2: Convert to fraction form
    18,087/39,273 = 39,273/x
  3. Step 3: Cross multiply
    18,087x = 39,273 × 39,273
  4. Step 4: Simplify right side
    18,087x = 1,542,368,529
  5. Step 5: Solve for x
    x = 1,542,368,529/18,087
  6. Step 6: Final answer
    x = 85,274.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.