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Finding the Third Proportional to 9,459 and 20,161

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Solution

The third proportional to 9,459 and 20,161 is: 42,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459 : 20,161 = 20,161 : x
  2. Step 2: Convert to fraction form
    9,459/20,161 = 20,161/x
  3. Step 3: Cross multiply
    9,459x = 20,161 × 20,161
  4. Step 4: Simplify right side
    9,459x = 406,465,921
  5. Step 5: Solve for x
    x = 406,465,921/9,459
  6. Step 6: Final answer
    x = 42,971.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.