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Finding the Third Proportional to 128,493 and 188,352.75

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Solution

The third proportional to 128,493 and 188,352.75 is: 276,098.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,493 : 188,352.75 = 188,352.75 : x
  2. Step 2: Convert to fraction form
    128,493/188,352.75 = 188,352.75/x
  3. Step 3: Cross multiply
    128,493x = 188,352.75 × 188,352.75
  4. Step 4: Simplify right side
    128,493x = 35,476,758,432.56
  5. Step 5: Solve for x
    x = 35,476,758,432.56/128,493
  6. Step 6: Final answer
    x = 276,098.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.