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Finding the Third Proportional to 33,382 and 51,989

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Solution

The third proportional to 33,382 and 51,989 is: 80,967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,382 : 51,989 = 51,989 : x
  2. Step 2: Convert to fraction form
    33,382/51,989 = 51,989/x
  3. Step 3: Cross multiply
    33,382x = 51,989 × 51,989
  4. Step 4: Simplify right side
    33,382x = 2,702,856,121
  5. Step 5: Solve for x
    x = 2,702,856,121/33,382
  6. Step 6: Final answer
    x = 80,967.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.