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Finding the Third Proportional to 20,274 and 31,181

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Solution

The third proportional to 20,274 and 31,181 is: 47,955.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274 : 31,181 = 31,181 : x
  2. Step 2: Convert to fraction form
    20,274/31,181 = 31,181/x
  3. Step 3: Cross multiply
    20,274x = 31,181 × 31,181
  4. Step 4: Simplify right side
    20,274x = 972,254,761
  5. Step 5: Solve for x
    x = 972,254,761/20,274
  6. Step 6: Final answer
    x = 47,955.74

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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.