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Finding the Third Proportional to 20,173 and 31,110

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Solution

The third proportional to 20,173 and 31,110 is: 47,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173 : 31,110 = 31,110 : x
  2. Step 2: Convert to fraction form
    20,173/31,110 = 31,110/x
  3. Step 3: Cross multiply
    20,173x = 31,110 × 31,110
  4. Step 4: Simplify right side
    20,173x = 967,832,100
  5. Step 5: Solve for x
    x = 967,832,100/20,173
  6. Step 6: Final answer
    x = 47,976.61

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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.