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Finding the Third Proportional to 101.09 and 214.19

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Solution

The third proportional to 101.09 and 214.19 is: 453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.09 : 214.19 = 214.19 : x
  2. Step 2: Convert to fraction form
    101.09/214.19 = 214.19/x
  3. Step 3: Cross multiply
    101.09x = 214.19 × 214.19
  4. Step 4: Simplify right side
    101.09x = 45,876.29
  5. Step 5: Solve for x
    x = 45,876.29/101.09
  6. Step 6: Final answer
    x = 453.80

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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.