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Finding the Third Proportional to 3,099.09 and 4,785.33

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Solution

The third proportional to 3,099.09 and 4,785.33 is: 7,389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.09 : 4,785.33 = 4,785.33 : x
  2. Step 2: Convert to fraction form
    3,099.09/4,785.33 = 4,785.33/x
  3. Step 3: Cross multiply
    3,099.09x = 4,785.33 × 4,785.33
  4. Step 4: Simplify right side
    3,099.09x = 22,899,365.26
  5. Step 5: Solve for x
    x = 22,899,365.26/3,099.09
  6. Step 6: Final answer
    x = 7,389.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.