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Finding the Third Proportional to 57,880 and 128,936

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Solution

The third proportional to 57,880 and 128,936 is: 287,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,880 : 128,936 = 128,936 : x
  2. Step 2: Convert to fraction form
    57,880/128,936 = 128,936/x
  3. Step 3: Cross multiply
    57,880x = 128,936 × 128,936
  4. Step 4: Simplify right side
    57,880x = 16,624,492,096
  5. Step 5: Solve for x
    x = 16,624,492,096/57,880
  6. Step 6: Final answer
    x = 287,223.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.