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Finding the Third Proportional to 128,860 and 196,025

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Solution

The third proportional to 128,860 and 196,025 is: 298,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,860 : 196,025 = 196,025 : x
  2. Step 2: Convert to fraction form
    128,860/196,025 = 196,025/x
  3. Step 3: Cross multiply
    128,860x = 196,025 × 196,025
  4. Step 4: Simplify right side
    128,860x = 38,425,800,625
  5. Step 5: Solve for x
    x = 38,425,800,625/128,860
  6. Step 6: Final answer
    x = 298,198.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.