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Finding the Third Proportional to 13,725 and 18,639

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Solution

The third proportional to 13,725 and 18,639 is: 25,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725 : 18,639 = 18,639 : x
  2. Step 2: Convert to fraction form
    13,725/18,639 = 18,639/x
  3. Step 3: Cross multiply
    13,725x = 18,639 × 18,639
  4. Step 4: Simplify right side
    13,725x = 347,412,321
  5. Step 5: Solve for x
    x = 347,412,321/13,725
  6. Step 6: Final answer
    x = 25,312.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.