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Finding the Third Proportional to 20,996 and 45,842

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Solution

The third proportional to 20,996 and 45,842 is: 100,089.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,996 : 45,842 = 45,842 : x
  2. Step 2: Convert to fraction form
    20,996/45,842 = 45,842/x
  3. Step 3: Cross multiply
    20,996x = 45,842 × 45,842
  4. Step 4: Simplify right side
    20,996x = 2,101,488,964
  5. Step 5: Solve for x
    x = 2,101,488,964/20,996
  6. Step 6: Final answer
    x = 100,089.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.