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Finding the Third Proportional to 102,867 and 208,596

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Solution

The third proportional to 102,867 and 208,596 is: 422,995.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,867 : 208,596 = 208,596 : x
  2. Step 2: Convert to fraction form
    102,867/208,596 = 208,596/x
  3. Step 3: Cross multiply
    102,867x = 208,596 × 208,596
  4. Step 4: Simplify right side
    102,867x = 43,512,291,216
  5. Step 5: Solve for x
    x = 43,512,291,216/102,867
  6. Step 6: Final answer
    x = 422,995.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.