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Finding the Third Proportional to 18,135 and 39,483

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Solution

The third proportional to 18,135 and 39,483 is: 85,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,135 : 39,483 = 39,483 : x
  2. Step 2: Convert to fraction form
    18,135/39,483 = 39,483/x
  3. Step 3: Cross multiply
    18,135x = 39,483 × 39,483
  4. Step 4: Simplify right side
    18,135x = 1,558,907,289
  5. Step 5: Solve for x
    x = 1,558,907,289/18,135
  6. Step 6: Final answer
    x = 85,961.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.