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Finding the Third Proportional to 128,568 and 196,115

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Solution

The third proportional to 128,568 and 196,115 is: 299,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,568 : 196,115 = 196,115 : x
  2. Step 2: Convert to fraction form
    128,568/196,115 = 196,115/x
  3. Step 3: Cross multiply
    128,568x = 196,115 × 196,115
  4. Step 4: Simplify right side
    128,568x = 38,461,093,225
  5. Step 5: Solve for x
    x = 38,461,093,225/128,568
  6. Step 6: Final answer
    x = 299,149.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.