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Finding the Third Proportional to 9,206 and 18,838

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Solution

The third proportional to 9,206 and 18,838 is: 38,547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206 : 18,838 = 18,838 : x
  2. Step 2: Convert to fraction form
    9,206/18,838 = 18,838/x
  3. Step 3: Cross multiply
    9,206x = 18,838 × 18,838
  4. Step 4: Simplify right side
    9,206x = 354,870,244
  5. Step 5: Solve for x
    x = 354,870,244/9,206
  6. Step 6: Final answer
    x = 38,547.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.