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Finding the Third Proportional to 18,478 and 27,568

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Solution

The third proportional to 18,478 and 27,568 is: 41,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,478 : 27,568 = 27,568 : x
  2. Step 2: Convert to fraction form
    18,478/27,568 = 27,568/x
  3. Step 3: Cross multiply
    18,478x = 27,568 × 27,568
  4. Step 4: Simplify right side
    18,478x = 759,994,624
  5. Step 5: Solve for x
    x = 759,994,624/18,478
  6. Step 6: Final answer
    x = 41,129.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.