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Finding the Third Proportional to 13,620 and 25,296

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Solution

The third proportional to 13,620 and 25,296 is: 46,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,620 : 25,296 = 25,296 : x
  2. Step 2: Convert to fraction form
    13,620/25,296 = 25,296/x
  3. Step 3: Cross multiply
    13,620x = 25,296 × 25,296
  4. Step 4: Simplify right side
    13,620x = 639,887,616
  5. Step 5: Solve for x
    x = 639,887,616/13,620
  6. Step 6: Final answer
    x = 46,981.47

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.