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Finding the Third Proportional to 20,402 and 31,189

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Solution

The third proportional to 20,402 and 31,189 is: 47,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,402 : 31,189 = 31,189 : x
  2. Step 2: Convert to fraction form
    20,402/31,189 = 31,189/x
  3. Step 3: Cross multiply
    20,402x = 31,189 × 31,189
  4. Step 4: Simplify right side
    20,402x = 972,753,721
  5. Step 5: Solve for x
    x = 972,753,721/20,402
  6. Step 6: Final answer
    x = 47,679.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.