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Finding the Third Proportional to 128,917 and 196,713

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Solution

The third proportional to 128,917 and 196,713 is: 300,162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,917 : 196,713 = 196,713 : x
  2. Step 2: Convert to fraction form
    128,917/196,713 = 196,713/x
  3. Step 3: Cross multiply
    128,917x = 196,713 × 196,713
  4. Step 4: Simplify right side
    128,917x = 38,696,004,369
  5. Step 5: Solve for x
    x = 38,696,004,369/128,917
  6. Step 6: Final answer
    x = 300,162.15

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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.