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Finding the Third Proportional to 18,936 and 39,102.75

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Solution

The third proportional to 18,936 and 39,102.75 is: 80,746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,936 : 39,102.75 = 39,102.75 : x
  2. Step 2: Convert to fraction form
    18,936/39,102.75 = 39,102.75/x
  3. Step 3: Cross multiply
    18,936x = 39,102.75 × 39,102.75
  4. Step 4: Simplify right side
    18,936x = 1,529,025,057.56
  5. Step 5: Solve for x
    x = 1,529,025,057.56/18,936
  6. Step 6: Final answer
    x = 80,746.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.