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Finding the Third Proportional to 3,763.13 and 8,110.97

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Solution

The third proportional to 3,763.13 and 8,110.97 is: 17,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.13 : 8,110.97 = 8,110.97 : x
  2. Step 2: Convert to fraction form
    3,763.13/8,110.97 = 8,110.97/x
  3. Step 3: Cross multiply
    3,763.13x = 8,110.97 × 8,110.97
  4. Step 4: Simplify right side
    3,763.13x = 65,787,814.06
  5. Step 5: Solve for x
    x = 65,787,814.06/3,763.13
  6. Step 6: Final answer
    x = 17,482.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.