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Finding the Third Proportional to 19,991 and 31,189

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Solution

The third proportional to 19,991 and 31,189 is: 48,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,991 : 31,189 = 31,189 : x
  2. Step 2: Convert to fraction form
    19,991/31,189 = 31,189/x
  3. Step 3: Cross multiply
    19,991x = 31,189 × 31,189
  4. Step 4: Simplify right side
    19,991x = 972,753,721
  5. Step 5: Solve for x
    x = 972,753,721/19,991
  6. Step 6: Final answer
    x = 48,659.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.