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Finding the Third Proportional to 128,680 and 198,016

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Solution

The third proportional to 128,680 and 198,016 is: 304,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,680 : 198,016 = 198,016 : x
  2. Step 2: Convert to fraction form
    128,680/198,016 = 198,016/x
  3. Step 3: Cross multiply
    128,680x = 198,016 × 198,016
  4. Step 4: Simplify right side
    128,680x = 39,210,336,256
  5. Step 5: Solve for x
    x = 39,210,336,256/128,680
  6. Step 6: Final answer
    x = 304,711.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.