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Finding the Third Proportional to 84,715 and 178,166

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Solution

The third proportional to 84,715 and 178,166 is: 374,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,715 : 178,166 = 178,166 : x
  2. Step 2: Convert to fraction form
    84,715/178,166 = 178,166/x
  3. Step 3: Cross multiply
    84,715x = 178,166 × 178,166
  4. Step 4: Simplify right side
    84,715x = 31,743,123,556
  5. Step 5: Solve for x
    x = 31,743,123,556/84,715
  6. Step 6: Final answer
    x = 374,704.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.