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Finding the Third Proportional to 3,477.09 and 7,128.84

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Solution

The third proportional to 3,477.09 and 7,128.84 is: 14,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.09 : 7,128.84 = 7,128.84 : x
  2. Step 2: Convert to fraction form
    3,477.09/7,128.84 = 7,128.84/x
  3. Step 3: Cross multiply
    3,477.09x = 7,128.84 × 7,128.84
  4. Step 4: Simplify right side
    3,477.09x = 50,820,413.21
  5. Step 5: Solve for x
    x = 50,820,413.21/3,477.09
  6. Step 6: Final answer
    x = 14,615.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.