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Finding the Third Proportional to 128,693 and 196,869

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Solution

The third proportional to 128,693 and 196,869 is: 301,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,693 : 196,869 = 196,869 : x
  2. Step 2: Convert to fraction form
    128,693/196,869 = 196,869/x
  3. Step 3: Cross multiply
    128,693x = 196,869 × 196,869
  4. Step 4: Simplify right side
    128,693x = 38,757,403,161
  5. Step 5: Solve for x
    x = 38,757,403,161/128,693
  6. Step 6: Final answer
    x = 301,161.70

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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.