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Finding the Third Proportional to 20,178 and 31,147

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Solution

The third proportional to 20,178 and 31,147 is: 48,078.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178 : 31,147 = 31,147 : x
  2. Step 2: Convert to fraction form
    20,178/31,147 = 31,147/x
  3. Step 3: Cross multiply
    20,178x = 31,147 × 31,147
  4. Step 4: Simplify right side
    20,178x = 970,135,609
  5. Step 5: Solve for x
    x = 970,135,609/20,178
  6. Step 6: Final answer
    x = 48,078.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.