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Finding the Third Proportional to 128,175.75 and 276,075

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Solution

The third proportional to 128,175.75 and 276,075 is: 594,632.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,175.75 : 276,075 = 276,075 : x
  2. Step 2: Convert to fraction form
    128,175.75/276,075 = 276,075/x
  3. Step 3: Cross multiply
    128,175.75x = 276,075 × 276,075
  4. Step 4: Simplify right side
    128,175.75x = 76,217,405,625
  5. Step 5: Solve for x
    x = 76,217,405,625/128,175.75
  6. Step 6: Final answer
    x = 594,632.02

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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.