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Finding the Third Proportional to 13,851 and 20,792

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Solution

The third proportional to 13,851 and 20,792 is: 31,211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851 : 20,792 = 20,792 : x
  2. Step 2: Convert to fraction form
    13,851/20,792 = 20,792/x
  3. Step 3: Cross multiply
    13,851x = 20,792 × 20,792
  4. Step 4: Simplify right side
    13,851x = 432,307,264
  5. Step 5: Solve for x
    x = 432,307,264/13,851
  6. Step 6: Final answer
    x = 31,211.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.