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Finding the Third Proportional to 71,349 and 168,734

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Solution

The third proportional to 71,349 and 168,734 is: 399,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,349 : 168,734 = 168,734 : x
  2. Step 2: Convert to fraction form
    71,349/168,734 = 168,734/x
  3. Step 3: Cross multiply
    71,349x = 168,734 × 168,734
  4. Step 4: Simplify right side
    71,349x = 28,471,162,756
  5. Step 5: Solve for x
    x = 28,471,162,756/71,349
  6. Step 6: Final answer
    x = 399,040.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.