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Finding the Third Proportional to 19,109 and 39,568

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Solution

The third proportional to 19,109 and 39,568 is: 81,931.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,109 : 39,568 = 39,568 : x
  2. Step 2: Convert to fraction form
    19,109/39,568 = 39,568/x
  3. Step 3: Cross multiply
    19,109x = 39,568 × 39,568
  4. Step 4: Simplify right side
    19,109x = 1,565,626,624
  5. Step 5: Solve for x
    x = 1,565,626,624/19,109
  6. Step 6: Final answer
    x = 81,931.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.