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Finding the Third Proportional to 9,665 and 20,167

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Solution

The third proportional to 9,665 and 20,167 is: 42,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665 : 20,167 = 20,167 : x
  2. Step 2: Convert to fraction form
    9,665/20,167 = 20,167/x
  3. Step 3: Cross multiply
    9,665x = 20,167 × 20,167
  4. Step 4: Simplify right side
    9,665x = 406,707,889
  5. Step 5: Solve for x
    x = 406,707,889/9,665
  6. Step 6: Final answer
    x = 42,080.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.