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Finding the Third Proportional to 163,682 and 343,876

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Solution

The third proportional to 163,682 and 343,876 is: 722,441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,682 : 343,876 = 343,876 : x
  2. Step 2: Convert to fraction form
    163,682/343,876 = 343,876/x
  3. Step 3: Cross multiply
    163,682x = 343,876 × 343,876
  4. Step 4: Simplify right side
    163,682x = 118,250,703,376
  5. Step 5: Solve for x
    x = 118,250,703,376/163,682
  6. Step 6: Final answer
    x = 722,441.71

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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.