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Finding the Third Proportional to 3,763.13 and 9,073.69

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Solution

The third proportional to 3,763.13 and 9,073.69 is: 21,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.13 : 9,073.69 = 9,073.69 : x
  2. Step 2: Convert to fraction form
    3,763.13/9,073.69 = 9,073.69/x
  3. Step 3: Cross multiply
    3,763.13x = 9,073.69 × 9,073.69
  4. Step 4: Simplify right side
    3,763.13x = 82,331,804.85
  5. Step 5: Solve for x
    x = 82,331,804.85/3,763.13
  6. Step 6: Final answer
    x = 21,878.57

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.