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Finding the Third Proportional to 82,172 and 126,881

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Solution

The third proportional to 82,172 and 126,881 is: 195,915.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,172 : 126,881 = 126,881 : x
  2. Step 2: Convert to fraction form
    82,172/126,881 = 126,881/x
  3. Step 3: Cross multiply
    82,172x = 126,881 × 126,881
  4. Step 4: Simplify right side
    82,172x = 16,098,788,161
  5. Step 5: Solve for x
    x = 16,098,788,161/82,172
  6. Step 6: Final answer
    x = 195,915.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.