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Finding the Third Proportional to 15,613 and 27,761

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Solution

The third proportional to 15,613 and 27,761 is: 49,360.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,613 : 27,761 = 27,761 : x
  2. Step 2: Convert to fraction form
    15,613/27,761 = 27,761/x
  3. Step 3: Cross multiply
    15,613x = 27,761 × 27,761
  4. Step 4: Simplify right side
    15,613x = 770,673,121
  5. Step 5: Solve for x
    x = 770,673,121/15,613
  6. Step 6: Final answer
    x = 49,360.99

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.