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Finding the Third Proportional to 51,096 and 106,584

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Solution

The third proportional to 51,096 and 106,584 is: 222,329.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,096 : 106,584 = 106,584 : x
  2. Step 2: Convert to fraction form
    51,096/106,584 = 106,584/x
  3. Step 3: Cross multiply
    51,096x = 106,584 × 106,584
  4. Step 4: Simplify right side
    51,096x = 11,360,149,056
  5. Step 5: Solve for x
    x = 11,360,149,056/51,096
  6. Step 6: Final answer
    x = 222,329.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.