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Finding the Third Proportional to 84,591 and 178,578

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Solution

The third proportional to 84,591 and 178,578 is: 376,991.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,591 : 178,578 = 178,578 : x
  2. Step 2: Convert to fraction form
    84,591/178,578 = 178,578/x
  3. Step 3: Cross multiply
    84,591x = 178,578 × 178,578
  4. Step 4: Simplify right side
    84,591x = 31,890,102,084
  5. Step 5: Solve for x
    x = 31,890,102,084/84,591
  6. Step 6: Final answer
    x = 376,991.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.