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Finding the Third Proportional to 71,469 and 166,173

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Solution

The third proportional to 71,469 and 166,173 is: 386,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,469 : 166,173 = 166,173 : x
  2. Step 2: Convert to fraction form
    71,469/166,173 = 166,173/x
  3. Step 3: Cross multiply
    71,469x = 166,173 × 166,173
  4. Step 4: Simplify right side
    71,469x = 27,613,465,929
  5. Step 5: Solve for x
    x = 27,613,465,929/71,469
  6. Step 6: Final answer
    x = 386,369.84

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.