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Finding the Third Proportional to 79,778 and 162,172

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Solution

The third proportional to 79,778 and 162,172 is: 329,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,778 : 162,172 = 162,172 : x
  2. Step 2: Convert to fraction form
    79,778/162,172 = 162,172/x
  3. Step 3: Cross multiply
    79,778x = 162,172 × 162,172
  4. Step 4: Simplify right side
    79,778x = 26,299,757,584
  5. Step 5: Solve for x
    x = 26,299,757,584/79,778
  6. Step 6: Final answer
    x = 329,661.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.