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Finding the Third Proportional to 199,832 and 428,008

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Solution

The third proportional to 199,832 and 428,008 is: 916,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,832 : 428,008 = 428,008 : x
  2. Step 2: Convert to fraction form
    199,832/428,008 = 428,008/x
  3. Step 3: Cross multiply
    199,832x = 428,008 × 428,008
  4. Step 4: Simplify right side
    199,832x = 183,190,848,064
  5. Step 5: Solve for x
    x = 183,190,848,064/199,832
  6. Step 6: Final answer
    x = 916,724.29

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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.