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Finding the Third Proportional to 51,096 and 81,252

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Solution

The third proportional to 51,096 and 81,252 is: 129,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,096 : 81,252 = 81,252 : x
  2. Step 2: Convert to fraction form
    51,096/81,252 = 81,252/x
  3. Step 3: Cross multiply
    51,096x = 81,252 × 81,252
  4. Step 4: Simplify right side
    51,096x = 6,601,887,504
  5. Step 5: Solve for x
    x = 6,601,887,504/51,096
  6. Step 6: Final answer
    x = 129,205.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.