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Finding the Third Proportional to 13,978 and 19,806

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Solution

The third proportional to 13,978 and 19,806 is: 28,063.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978 : 19,806 = 19,806 : x
  2. Step 2: Convert to fraction form
    13,978/19,806 = 19,806/x
  3. Step 3: Cross multiply
    13,978x = 19,806 × 19,806
  4. Step 4: Simplify right side
    13,978x = 392,277,636
  5. Step 5: Solve for x
    x = 392,277,636/13,978
  6. Step 6: Final answer
    x = 28,063.93

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.