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Finding the Third Proportional to 128,883 and 197,177

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Solution

The third proportional to 128,883 and 197,177 is: 301,659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,883 : 197,177 = 197,177 : x
  2. Step 2: Convert to fraction form
    128,883/197,177 = 197,177/x
  3. Step 3: Cross multiply
    128,883x = 197,177 × 197,177
  4. Step 4: Simplify right side
    128,883x = 38,878,769,329
  5. Step 5: Solve for x
    x = 38,878,769,329/128,883
  6. Step 6: Final answer
    x = 301,659.41

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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.