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Finding the Third Proportional to 128,176 and 275,296

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Solution

The third proportional to 128,176 and 275,296 is: 591,279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,176 : 275,296 = 275,296 : x
  2. Step 2: Convert to fraction form
    128,176/275,296 = 275,296/x
  3. Step 3: Cross multiply
    128,176x = 275,296 × 275,296
  4. Step 4: Simplify right side
    128,176x = 75,787,887,616
  5. Step 5: Solve for x
    x = 75,787,887,616/128,176
  6. Step 6: Final answer
    x = 591,279.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.