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Finding the Third Proportional to 199,128 and 416,696

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Solution

The third proportional to 199,128 and 416,696 is: 871,979.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,128 : 416,696 = 416,696 : x
  2. Step 2: Convert to fraction form
    199,128/416,696 = 416,696/x
  3. Step 3: Cross multiply
    199,128x = 416,696 × 416,696
  4. Step 4: Simplify right side
    199,128x = 173,635,556,416
  5. Step 5: Solve for x
    x = 173,635,556,416/199,128
  6. Step 6: Final answer
    x = 871,979.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.