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Finding the Third Proportional to 42,001 and 80,923

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Solution

The third proportional to 42,001 and 80,923 is: 155,913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,001 : 80,923 = 80,923 : x
  2. Step 2: Convert to fraction form
    42,001/80,923 = 80,923/x
  3. Step 3: Cross multiply
    42,001x = 80,923 × 80,923
  4. Step 4: Simplify right side
    42,001x = 6,548,531,929
  5. Step 5: Solve for x
    x = 6,548,531,929/42,001
  6. Step 6: Final answer
    x = 155,913.71

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.