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Finding the Third Proportional to 9,842 and 20,796

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Solution

The third proportional to 9,842 and 20,796 is: 43,941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842 : 20,796 = 20,796 : x
  2. Step 2: Convert to fraction form
    9,842/20,796 = 20,796/x
  3. Step 3: Cross multiply
    9,842x = 20,796 × 20,796
  4. Step 4: Simplify right side
    9,842x = 432,473,616
  5. Step 5: Solve for x
    x = 432,473,616/9,842
  6. Step 6: Final answer
    x = 43,941.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.