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Finding the Third Proportional to 5,121.77 and 10,431.49

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Solution

The third proportional to 5,121.77 and 10,431.49 is: 21,245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.77 : 10,431.49 = 10,431.49 : x
  2. Step 2: Convert to fraction form
    5,121.77/10,431.49 = 10,431.49/x
  3. Step 3: Cross multiply
    5,121.77x = 10,431.49 × 10,431.49
  4. Step 4: Simplify right side
    5,121.77x = 108,816,029.26
  5. Step 5: Solve for x
    x = 108,816,029.26/5,121.77
  6. Step 6: Final answer
    x = 21,245.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.