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Finding the Third Proportional to 84,188 and 178,756

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Solution

The third proportional to 84,188 and 178,756 is: 379,551.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,188 : 178,756 = 178,756 : x
  2. Step 2: Convert to fraction form
    84,188/178,756 = 178,756/x
  3. Step 3: Cross multiply
    84,188x = 178,756 × 178,756
  4. Step 4: Simplify right side
    84,188x = 31,953,707,536
  5. Step 5: Solve for x
    x = 31,953,707,536/84,188
  6. Step 6: Final answer
    x = 379,551.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.