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Finding the Third Proportional to 81,251 and 177,082

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Solution

The third proportional to 81,251 and 177,082 is: 385,940.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,251 : 177,082 = 177,082 : x
  2. Step 2: Convert to fraction form
    81,251/177,082 = 177,082/x
  3. Step 3: Cross multiply
    81,251x = 177,082 × 177,082
  4. Step 4: Simplify right side
    81,251x = 31,358,034,724
  5. Step 5: Solve for x
    x = 31,358,034,724/81,251
  6. Step 6: Final answer
    x = 385,940.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.