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Finding the Third Proportional to 161,379 and 329,886

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Solution

The third proportional to 161,379 and 329,886 is: 674,342.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,379 : 329,886 = 329,886 : x
  2. Step 2: Convert to fraction form
    161,379/329,886 = 329,886/x
  3. Step 3: Cross multiply
    161,379x = 329,886 × 329,886
  4. Step 4: Simplify right side
    161,379x = 108,824,772,996
  5. Step 5: Solve for x
    x = 108,824,772,996/161,379
  6. Step 6: Final answer
    x = 674,342.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.