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Finding the Third Proportional to 100.69 and 213.19

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Solution

The third proportional to 100.69 and 213.19 is: 451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.69 : 213.19 = 213.19 : x
  2. Step 2: Convert to fraction form
    100.69/213.19 = 213.19/x
  3. Step 3: Cross multiply
    100.69x = 213.19 × 213.19
  4. Step 4: Simplify right side
    100.69x = 45,448.91
  5. Step 5: Solve for x
    x = 45,448.91/100.69
  6. Step 6: Final answer
    x = 451.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.