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Finding the Third Proportional to 100,108 and 217,636

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Solution

The third proportional to 100,108 and 217,636 is: 473,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,108 : 217,636 = 217,636 : x
  2. Step 2: Convert to fraction form
    100,108/217,636 = 217,636/x
  3. Step 3: Cross multiply
    100,108x = 217,636 × 217,636
  4. Step 4: Simplify right side
    100,108x = 47,365,428,496
  5. Step 5: Solve for x
    x = 47,365,428,496/100,108
  6. Step 6: Final answer
    x = 473,143.29

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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.