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Finding the Third Proportional to 69,204 and 90,869

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Solution

The third proportional to 69,204 and 90,869 is: 119,316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,204 : 90,869 = 90,869 : x
  2. Step 2: Convert to fraction form
    69,204/90,869 = 90,869/x
  3. Step 3: Cross multiply
    69,204x = 90,869 × 90,869
  4. Step 4: Simplify right side
    69,204x = 8,257,175,161
  5. Step 5: Solve for x
    x = 8,257,175,161/69,204
  6. Step 6: Final answer
    x = 119,316.44

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.