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Finding the Third Proportional to 19,737 and 43,848

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Solution

The third proportional to 19,737 and 43,848 is: 97,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,737 : 43,848 = 43,848 : x
  2. Step 2: Convert to fraction form
    19,737/43,848 = 43,848/x
  3. Step 3: Cross multiply
    19,737x = 43,848 × 43,848
  4. Step 4: Simplify right side
    19,737x = 1,922,647,104
  5. Step 5: Solve for x
    x = 1,922,647,104/19,737
  6. Step 6: Final answer
    x = 97,413.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.