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Finding the Third Proportional to 161,393 and 329,347

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Solution

The third proportional to 161,393 and 329,347 is: 672,082.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,393 : 329,347 = 329,347 : x
  2. Step 2: Convert to fraction form
    161,393/329,347 = 329,347/x
  3. Step 3: Cross multiply
    161,393x = 329,347 × 329,347
  4. Step 4: Simplify right side
    161,393x = 108,469,446,409
  5. Step 5: Solve for x
    x = 108,469,446,409/161,393
  6. Step 6: Final answer
    x = 672,082.72

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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.