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Finding the Third Proportional to 161,872 and 330,164

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Solution

The third proportional to 161,872 and 330,164 is: 673,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,872 : 330,164 = 330,164 : x
  2. Step 2: Convert to fraction form
    161,872/330,164 = 330,164/x
  3. Step 3: Cross multiply
    161,872x = 330,164 × 330,164
  4. Step 4: Simplify right side
    161,872x = 109,008,266,896
  5. Step 5: Solve for x
    x = 109,008,266,896/161,872
  6. Step 6: Final answer
    x = 673,422.62

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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.