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Finding the Third Proportional to 30.14 and 81.05

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Solution

The third proportional to 30.14 and 81.05 is: 217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.14 : 81.05 = 81.05 : x
  2. Step 2: Convert to fraction form
    30.14/81.05 = 81.05/x
  3. Step 3: Cross multiply
    30.14x = 81.05 × 81.05
  4. Step 4: Simplify right side
    30.14x = 6,568.60
  5. Step 5: Solve for x
    x = 6,568.60/30.14
  6. Step 6: Final answer
    x = 217.93

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.