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Finding the Third Proportional to 9,796 and 20,258

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Solution

The third proportional to 9,796 and 20,258 is: 41,893.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796 : 20,258 = 20,258 : x
  2. Step 2: Convert to fraction form
    9,796/20,258 = 20,258/x
  3. Step 3: Cross multiply
    9,796x = 20,258 × 20,258
  4. Step 4: Simplify right side
    9,796x = 410,386,564
  5. Step 5: Solve for x
    x = 410,386,564/9,796
  6. Step 6: Final answer
    x = 41,893.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.