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Finding the Third Proportional to 11,592 and 24,825

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Solution

The third proportional to 11,592 and 24,825 is: 53,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592 : 24,825 = 24,825 : x
  2. Step 2: Convert to fraction form
    11,592/24,825 = 24,825/x
  3. Step 3: Cross multiply
    11,592x = 24,825 × 24,825
  4. Step 4: Simplify right side
    11,592x = 616,280,625
  5. Step 5: Solve for x
    x = 616,280,625/11,592
  6. Step 6: Final answer
    x = 53,164.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.