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Finding the Third Proportional to 16,399.13 and 20,800.13

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Solution

The third proportional to 16,399.13 and 20,800.13 is: 26,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,399.13 : 20,800.13 = 20,800.13 : x
  2. Step 2: Convert to fraction form
    16,399.13/20,800.13 = 20,800.13/x
  3. Step 3: Cross multiply
    16,399.13x = 20,800.13 × 20,800.13
  4. Step 4: Simplify right side
    16,399.13x = 432,645,200.02
  5. Step 5: Solve for x
    x = 432,645,200.02/16,399.13
  6. Step 6: Final answer
    x = 26,382.21

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.