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Finding the Third Proportional to 128,880 and 194,256

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Solution

The third proportional to 128,880 and 194,256 is: 292,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,880 : 194,256 = 194,256 : x
  2. Step 2: Convert to fraction form
    128,880/194,256 = 194,256/x
  3. Step 3: Cross multiply
    128,880x = 194,256 × 194,256
  4. Step 4: Simplify right side
    128,880x = 37,735,393,536
  5. Step 5: Solve for x
    x = 37,735,393,536/128,880
  6. Step 6: Final answer
    x = 292,794.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.