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Finding the Third Proportional to 81,096 and 174,126

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Solution

The third proportional to 81,096 and 174,126 is: 373,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,096 : 174,126 = 174,126 : x
  2. Step 2: Convert to fraction form
    81,096/174,126 = 174,126/x
  3. Step 3: Cross multiply
    81,096x = 174,126 × 174,126
  4. Step 4: Simplify right side
    81,096x = 30,319,863,876
  5. Step 5: Solve for x
    x = 30,319,863,876/81,096
  6. Step 6: Final answer
    x = 373,876.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.