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Finding the Third Proportional to 4,138.59 and 8,921.39

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Solution

The third proportional to 4,138.59 and 8,921.39 is: 19,231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.59 : 8,921.39 = 8,921.39 : x
  2. Step 2: Convert to fraction form
    4,138.59/8,921.39 = 8,921.39/x
  3. Step 3: Cross multiply
    4,138.59x = 8,921.39 × 8,921.39
  4. Step 4: Simplify right side
    4,138.59x = 79,591,210.68
  5. Step 5: Solve for x
    x = 79,591,210.68/4,138.59
  6. Step 6: Final answer
    x = 19,231.46

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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.