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Finding the Third Proportional to 13,790 and 16,778

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Solution

The third proportional to 13,790 and 16,778 is: 20,413.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790 : 16,778 = 16,778 : x
  2. Step 2: Convert to fraction form
    13,790/16,778 = 16,778/x
  3. Step 3: Cross multiply
    13,790x = 16,778 × 16,778
  4. Step 4: Simplify right side
    13,790x = 281,501,284
  5. Step 5: Solve for x
    x = 281,501,284/13,790
  6. Step 6: Final answer
    x = 20,413.44

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.