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Finding the Third Proportional to 81,376 and 180,167

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Solution

The third proportional to 81,376 and 180,167 is: 398,890.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,376 : 180,167 = 180,167 : x
  2. Step 2: Convert to fraction form
    81,376/180,167 = 180,167/x
  3. Step 3: Cross multiply
    81,376x = 180,167 × 180,167
  4. Step 4: Simplify right side
    81,376x = 32,460,147,889
  5. Step 5: Solve for x
    x = 32,460,147,889/81,376
  6. Step 6: Final answer
    x = 398,890.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.