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Finding the Third Proportional to 21,362 and 31,867

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Solution

The third proportional to 21,362 and 31,867 is: 47,537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,362 : 31,867 = 31,867 : x
  2. Step 2: Convert to fraction form
    21,362/31,867 = 31,867/x
  3. Step 3: Cross multiply
    21,362x = 31,867 × 31,867
  4. Step 4: Simplify right side
    21,362x = 1,015,505,689
  5. Step 5: Solve for x
    x = 1,015,505,689/21,362
  6. Step 6: Final answer
    x = 47,537.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.