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Finding the Third Proportional to 21,317 and 31,975

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Solution

The third proportional to 21,317 and 31,975 is: 47,961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,317 : 31,975 = 31,975 : x
  2. Step 2: Convert to fraction form
    21,317/31,975 = 31,975/x
  3. Step 3: Cross multiply
    21,317x = 31,975 × 31,975
  4. Step 4: Simplify right side
    21,317x = 1,022,400,625
  5. Step 5: Solve for x
    x = 1,022,400,625/21,317
  6. Step 6: Final answer
    x = 47,961.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.