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Finding the Third Proportional to 199,844 and 428,112

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Solution

The third proportional to 199,844 and 428,112 is: 917,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,844 : 428,112 = 428,112 : x
  2. Step 2: Convert to fraction form
    199,844/428,112 = 428,112/x
  3. Step 3: Cross multiply
    199,844x = 428,112 × 428,112
  4. Step 4: Simplify right side
    199,844x = 183,279,884,544
  5. Step 5: Solve for x
    x = 183,279,884,544/199,844
  6. Step 6: Final answer
    x = 917,114.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.