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Finding the Third Proportional to 67,880 and 131,467

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Solution

The third proportional to 67,880 and 131,467 is: 254,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,880 : 131,467 = 131,467 : x
  2. Step 2: Convert to fraction form
    67,880/131,467 = 131,467/x
  3. Step 3: Cross multiply
    67,880x = 131,467 × 131,467
  4. Step 4: Simplify right side
    67,880x = 17,283,572,089
  5. Step 5: Solve for x
    x = 17,283,572,089/67,880
  6. Step 6: Final answer
    x = 254,619.51

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.