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Finding the Third Proportional to 161,884 and 343,494

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Solution

The third proportional to 161,884 and 343,494 is: 728,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,884 : 343,494 = 343,494 : x
  2. Step 2: Convert to fraction form
    161,884/343,494 = 343,494/x
  3. Step 3: Cross multiply
    161,884x = 343,494 × 343,494
  4. Step 4: Simplify right side
    161,884x = 117,988,128,036
  5. Step 5: Solve for x
    x = 117,988,128,036/161,884
  6. Step 6: Final answer
    x = 728,843.67

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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.