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Finding the Third Proportional to 3,412.13 and 4,308.19

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Solution

The third proportional to 3,412.13 and 4,308.19 is: 5,439.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.13 : 4,308.19 = 4,308.19 : x
  2. Step 2: Convert to fraction form
    3,412.13/4,308.19 = 4,308.19/x
  3. Step 3: Cross multiply
    3,412.13x = 4,308.19 × 4,308.19
  4. Step 4: Simplify right side
    3,412.13x = 18,560,479.54
  5. Step 5: Solve for x
    x = 18,560,479.54/3,412.13
  6. Step 6: Final answer
    x = 5,439.57

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.