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Finding the Third Proportional to 8,413.88 and 13,199.63

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Solution

The third proportional to 8,413.88 and 13,199.63 is: 20,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.88 : 13,199.63 = 13,199.63 : x
  2. Step 2: Convert to fraction form
    8,413.88/13,199.63 = 13,199.63/x
  3. Step 3: Cross multiply
    8,413.88x = 13,199.63 × 13,199.63
  4. Step 4: Simplify right side
    8,413.88x = 174,230,100.14
  5. Step 5: Solve for x
    x = 174,230,100.14/8,413.88
  6. Step 6: Final answer
    x = 20,707.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.