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Finding the Third Proportional to 9,796 and 23,104

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Solution

The third proportional to 9,796 and 23,104 is: 54,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796 : 23,104 = 23,104 : x
  2. Step 2: Convert to fraction form
    9,796/23,104 = 23,104/x
  3. Step 3: Cross multiply
    9,796x = 23,104 × 23,104
  4. Step 4: Simplify right side
    9,796x = 533,794,816
  5. Step 5: Solve for x
    x = 533,794,816/9,796
  6. Step 6: Final answer
    x = 54,491.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.