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Finding the Third Proportional to 28,786 and 61,568

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Solution

The third proportional to 28,786 and 61,568 is: 131,682.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,786 : 61,568 = 61,568 : x
  2. Step 2: Convert to fraction form
    28,786/61,568 = 61,568/x
  3. Step 3: Cross multiply
    28,786x = 61,568 × 61,568
  4. Step 4: Simplify right side
    28,786x = 3,790,618,624
  5. Step 5: Solve for x
    x = 3,790,618,624/28,786
  6. Step 6: Final answer
    x = 131,682.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.