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Finding the Third Proportional to 100,179 and 217,845

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Solution

The third proportional to 100,179 and 217,845 is: 473,716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,179 : 217,845 = 217,845 : x
  2. Step 2: Convert to fraction form
    100,179/217,845 = 217,845/x
  3. Step 3: Cross multiply
    100,179x = 217,845 × 217,845
  4. Step 4: Simplify right side
    100,179x = 47,456,444,025
  5. Step 5: Solve for x
    x = 47,456,444,025/100,179
  6. Step 6: Final answer
    x = 473,716.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.