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Finding the Third Proportional to 15,880 and 34,874

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Solution

The third proportional to 15,880 and 34,874 is: 76,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880 : 34,874 = 34,874 : x
  2. Step 2: Convert to fraction form
    15,880/34,874 = 34,874/x
  3. Step 3: Cross multiply
    15,880x = 34,874 × 34,874
  4. Step 4: Simplify right side
    15,880x = 1,216,195,876
  5. Step 5: Solve for x
    x = 1,216,195,876/15,880
  6. Step 6: Final answer
    x = 76,586.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.