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Finding the Third Proportional to 11,476 and 23,992

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Solution

The third proportional to 11,476 and 23,992 is: 50,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476 : 23,992 = 23,992 : x
  2. Step 2: Convert to fraction form
    11,476/23,992 = 23,992/x
  3. Step 3: Cross multiply
    11,476x = 23,992 × 23,992
  4. Step 4: Simplify right side
    11,476x = 575,616,064
  5. Step 5: Solve for x
    x = 575,616,064/11,476
  6. Step 6: Final answer
    x = 50,158.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.