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Finding the Third Proportional to 123,011 and 200,867

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Solution

The third proportional to 123,011 and 200,867 is: 327,999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,011 : 200,867 = 200,867 : x
  2. Step 2: Convert to fraction form
    123,011/200,867 = 200,867/x
  3. Step 3: Cross multiply
    123,011x = 200,867 × 200,867
  4. Step 4: Simplify right side
    123,011x = 40,347,551,689
  5. Step 5: Solve for x
    x = 40,347,551,689/123,011
  6. Step 6: Final answer
    x = 327,999.54

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.