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Finding the Third Proportional to 101.19 and 214.47

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Solution

The third proportional to 101.19 and 214.47 is: 454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.19 : 214.47 = 214.47 : x
  2. Step 2: Convert to fraction form
    101.19/214.47 = 214.47/x
  3. Step 3: Cross multiply
    101.19x = 214.47 × 214.47
  4. Step 4: Simplify right side
    101.19x = 45,996.84
  5. Step 5: Solve for x
    x = 45,996.84/101.19
  6. Step 6: Final answer
    x = 454.57

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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.