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Finding the Third Proportional to 4,448.25 and 9,386.44

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Solution

The third proportional to 4,448.25 and 9,386.44 is: 19,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448.25 : 9,386.44 = 9,386.44 : x
  2. Step 2: Convert to fraction form
    4,448.25/9,386.44 = 9,386.44/x
  3. Step 3: Cross multiply
    4,448.25x = 9,386.44 × 9,386.44
  4. Step 4: Simplify right side
    4,448.25x = 88,105,208.94
  5. Step 5: Solve for x
    x = 88,105,208.94/4,448.25
  6. Step 6: Final answer
    x = 19,806.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.