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Finding the Third Proportional to 18,758 and 39,619

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Solution

The third proportional to 18,758 and 39,619 is: 83,679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,758 : 39,619 = 39,619 : x
  2. Step 2: Convert to fraction form
    18,758/39,619 = 39,619/x
  3. Step 3: Cross multiply
    18,758x = 39,619 × 39,619
  4. Step 4: Simplify right side
    18,758x = 1,569,665,161
  5. Step 5: Solve for x
    x = 1,569,665,161/18,758
  6. Step 6: Final answer
    x = 83,679.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.